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90,000

Natural number From Wikipedia, the free encyclopedia

90,000 (ninety thousand) is the natural number following 89,999 and preceding 90,001. It is the sum of the cubes of the first 24 positive integers, and is the square of 300.

Quick Facts ← 89999 90000 90001 →, Cardinal ...
89999 90000 90001
Cardinalninety thousand
Ordinal90000th
(ninety thousandth)
Factorization24 × 32 × 54
Greek numeral
Roman numeralXC, xc
Binary101011111100100002
Ternary111201101003
Senary15324006
Octal2576208
Duodecimal4410012
Hexadecimal15F9016
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Selected numbers in the range 90,000–99,999

  • 90,625 = the only five-digit automorphic number: 906252 = 8212890625[1]
  • 91,125 = 453
  • 91,144 = Fine number[clarification needed][2]
  • 92,205 = number of 23-bead necklaces (turning over is allowed) where complements are equivalent[3]
  • 93,312 = Leyland number: 66 + 66.[4] Also a 3-smooth number.
  • 94,249 = palindromic square: 3072
  • 94,932 = Leyland number: 75 + 57[4]
  • 95,121 = Kaprekar number: 951212 = 9048004641; 90480 + 04641 = 95121[5]
  • 95,420 = number of 22-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[6]
  • 96,557 = Markov number: 52 + 64662 + 965572 = 3 × 5 × 6466 × 96557[7]
  • 97,336 = 463, the largest 5-digit cube
  • 98,304 = 3-smooth number
  • 99,066 = largest number whose square uses all of the decimal digits once: 990662 = 9814072356. It is also strobogrammatic in decimal.
  • 99,856 = 3162, the largest 5-digit square
  • 99,991 = largest five-digit prime number
  • 99,999 = repdigit, Kaprekar number: 999992 = 9999800001; 99998 + 00001 = 99999[5]

Primes

There are 879 prime numbers between 90000 and 100000.

References

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