# 90,000

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**90,000** (**ninety thousand**) is the [natural number](/source/Natural_number) following [89,999](/source/80,000#Selected_numbers_in_the_range_80,000–89,999) and preceding 90,001. It is the sum of the cubes of the first 24 positive integers, and is the square of 300.

## Selected numbers in the range 90,000–99,999

- **90,210** = the zip code of the city in *[Beverly Hills, 90210](/source/Beverly_Hills,_90210)*
- **90,625** = the only five-digit [automorphic number](/source/Automorphic_number): 906252 = 8212890625[1]
- **91,125** = 453
- **91,144** = Fine number[2]
- **92,205** = number of 23-bead necklaces (turning over is allowed) where complements are equivalent[3]
- **93,312** = [Leyland number](/source/Leyland_number): 66 + 66.[4] Also a 3-smooth number.
- **94,249** = [palindromic](/source/Palindromic_number) square: 3072
- **94,932** = Leyland number: 75 + 57[4]
- **95,121** = [Kaprekar number](/source/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](/source/Markov_number): 52 + 64662 + 965572 = 3 × 5 × 6466 × 96557[7]
- **97,336** = 463, the largest 5-digit cube
- **98,304** = 3-[smooth number](/source/Smooth_number)
- **99,066** = largest number whose [square](/source/Square_(algebra)) uses all of the [decimal](/source/Decimal) [digits](/source/Numerical_digit) once: 990662 = 9814072356. It is also strobogrammatic in decimal.
- **99,719** = The largest five-digit number that is a left-and-right-truncatable prime[8]
- **99,856** = 3162, the largest 5-digit square
- **99,991** = largest five-digit [prime number](/source/Prime_number)
- **99,999** = [repdigit](/source/Repdigit), Kaprekar number: 999992 = 9999800001; 99998 + 00001 = 99999[5]

### Primes

There are 879 prime numbers between 90000 and 100000.

## References

1. ["Sloane's A003226 : Automorphic numbers"](https://oeis.org/A003226). *The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-16.

1. Retrieved 2022-06-01.

1. ["Sloane's A076980 : Leyland numbers"](https://oeis.org/A076980). *The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-16.

1. ["Sloane's A006886 : Kaprekar numbers"](https://oeis.org/A006886). *The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-16.

1. ["Sloane's A002559 : Markoff (or Markov) numbers"](https://oeis.org/A002559). *The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-16.

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Adapted from the Wikipedia article [90,000](https://en.wikipedia.org/wiki/90%2C000) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/90%2C000?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.
