20,000

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← 19999 20000 20001 →
Cardinaltwenty thousand
Ordinal20000th
(twenty thousandth)
Factorization25 × 54
Greek numeral
Roman numeralXX
Binary1001110001000002
Ternary10001022023
Octal470408
DuodecimalB6A812
Hexadecimal4E2016

20,000 (twenty thousand) is the natural number that comes after 19,999 and before 20,001.

20,000 is a round number, and is also in the title of Jules Verne's novel Twenty Thousand Leagues Under the Sea.

Selected numbers in the range 20001–29999[edit]

20001 to 20999[edit]

21000 to 21999[edit]

22000 to 22999[edit]

23000 to 23999[edit]

  • 23401 – Leyland number:[3] 65 + 56
  • 23409 = 1532, sum of the cubes of the first 17 positive integers
  • 23497 – cuban prime[9]
  • 23821 – square pyramidal number[4]
  • 23833Padovan prime
  • 23969 – octahedral number[7]
  • 23976 – pentagonal pyramidal number[2]

24000 to 24999[edit]

25000 to 25999[edit]

  • 25011 – the smallest composite number, ending in 1, 3, 7, or 9, that in base 10 remains composite after any insertion of a digit
  • 25085 – Zeisel number[11]
  • 25117 – cuban prime[9]
  • 25200 – highly composite number[1]
  • 25205 – largest number whose factorial is less than 10100000
  • 25585 – square pyramidal number[4]

26000 to 26999[edit]

  • 26214 – octahedral number[7]
  • 26227 – cuban prime[9]
  • 26861 – smallest number for which there are more primes of the form 4k + 1 than of the form 4k + 3 up to the number, against Chebyshev's bias
  • 26896 = 1642, palindromic in base 9: 408049

27000 to 27999[edit]

  • 27000 = 303
  • 27434 – square pyramidal number[4]
  • 27559 – Zeisel number[11]
  • 27648 = 11 × 22 × 33 × 44
  • 27653 – Friedman prime
  • 27720 – highly composite number;[1] smallest number divisible by the numbers 1 to 12 (there is no smaller number divisible by the numbers 1 to 11)
  • 27846harmonic divisor number[13]
  • 27889 = 1672

28000 to 28999[edit]

  • 28158 – pentagonal pyramidal number[2]
  • 28374 – smallest integer to start a run of six consecutive integers with the same number of divisors
  • 28393 – unique prime in base 13
  • 28547 – Friedman prime
  • 28559 – nice Friedman prime
  • 28561 = 1692 = 134 = 1192 + 1202, number that is simultaneously a square number and a centered square number, palindromic in base 12: 1464112
  • 28595 – octahedral number[7]
  • 28657Fibonacci prime,[14] Markov prime[15]
  • 28900 = 1702, palindromic in base 13: 1020113

29000 to 29999[edit]

  • 29241 = 1712, sum of the cubes of the first 18 positive integers
  • 29341Carmichael number[16]
  • 29370 – square pyramidal number[4]
  • 29527 – Friedman prime
  • 29531 – Friedman prime
  • 29791 = 313

There are 983 prime numbers between 20000 and 30000.

References[edit]

  1. ^ a b c "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  2. ^ a b c d "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  3. ^ a b "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  4. ^ a b c d e f "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  5. ^ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  6. ^ "Sloane's A000110 : Bell or exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  7. ^ a b c d "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  8. ^ "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  9. ^ a b c d e "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  10. ^ "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  11. ^ a b c "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  12. ^ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  13. ^ "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  14. ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  15. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  16. ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.