90,000

← 89999 90000 90001 →
List of numbers Integers ← 0 10k 20k 30k 40k 50k 60k 70k 80k 90k →
Cardinal	ninety thousand
Ordinal	90000th (ninety thousandth)
Factorization	24 × 32 × 54
Greek numeral	${\displaystyle {\stackrel {\theta }{\mathrm {M} }}}$
Roman numeral	XC, xc
Binary	101011111100100002
Ternary	111201101003
Senary	15324006
Octal	2576208
Duodecimal	4410012
Hexadecimal	15F9016

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.

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 + 5^{7 [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

1. "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
2. Sloane, N. J. A. (ed.). "SequenceA000957". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-01.
3. Sloane, N. J. A. (ed.). "SequenceA000011(Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
4. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
5. "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
6. Sloane, N. J. A. (ed.). "SequenceA000013(Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
7. "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.

External links

• Media related to 90000 (number) at Wikimedia Commons