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90,120

90,120 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
2,109
Square (n²)
8,121,614,400
Cube (n³)
731,919,889,728,000
Divisor count
32
σ(n) — sum of divisors
270,720
φ(n) — Euler's totient
24,000
Sum of prime factors
765

Primality

Prime factorization: 2 3 × 3 × 5 × 751

Nearest primes: 90,107 (−13) · 90,121 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 751 · 1502 · 2253 · 3004 · 3755 · 4506 · 6008 · 7510 · 9012 · 11265 · 15020 · 18024 · 22530 · 30040 · 45060 (half) · 90120
Aliquot sum (sum of proper divisors): 180,600
Factor pairs (a × b = 90,120)
1 × 90120
2 × 45060
3 × 30040
4 × 22530
5 × 18024
6 × 15020
8 × 11265
10 × 9012
12 × 7510
15 × 6008
20 × 4506
24 × 3755
30 × 3004
40 × 2253
60 × 1502
120 × 751
First multiples
90,120 · 180,240 (double) · 270,360 · 360,480 · 450,600 · 540,720 · 630,840 · 720,960 · 811,080 · 901,200

Sums & aliquot sequence

As consecutive integers: 30,039 + 30,040 + 30,041 18,022 + 18,023 + 18,024 + 18,025 + 18,026 6,001 + 6,002 + … + 6,015 5,625 + 5,626 + … + 5,640
Aliquot sequence: 90,120 180,600 474,120 1,109,880 2,498,400 6,336,972 9,846,468 18,216,252 29,587,196 23,039,644 17,279,740 21,981,860 26,610,460 30,462,500 36,197,296 35,766,848 40,669,372 — unresolved within range

Representations

In words
ninety thousand one hundred twenty
Ordinal
90120th
Binary
10110000000001000
Octal
260010
Hexadecimal
0x16008
Base64
AWAI
One's complement
4,294,877,175 (32-bit)
In other bases
ternary (3) 11120121210
quaternary (4) 112000020
quinary (5) 10340440
senary (6) 1533120
septenary (7) 523512
nonary (9) 146553
undecimal (11) 61788
duodecimal (12) 441a0
tridecimal (13) 32034
tetradecimal (14) 24bb2
pentadecimal (15) 1ba80

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆
Greek (Milesian)
͵ϟρκʹ
Mayan (base 20)
𝋫·𝋥·𝋦·𝋠
Chinese
九萬零一百二十
Chinese (financial)
玖萬零壹佰貳拾
In other modern scripts
Eastern Arabic ٩٠١٢٠ Devanagari ९०१२० Bengali ৯০১২০ Tamil ௯௦௧௨௦ Thai ๙๐๑๒๐ Tibetan ༩༠༡༢༠ Khmer ៩០១២០ Lao ໙໐໑໒໐ Burmese ၉၀၁၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 90,120 = 4
e — Euler's number (e)
Digit 90,120 = 2
φ — Golden ratio (φ)
Digit 90,120 = 2
√2 — Pythagoras's (√2)
Digit 90,120 = 7
ln 2 — Natural log of 2
Digit 90,120 = 7
γ — Euler-Mascheroni (γ)
Digit 90,120 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 90120, here are decompositions:

  • 13 + 90107 = 90120
  • 31 + 90089 = 90120
  • 47 + 90073 = 90120
  • 53 + 90067 = 90120
  • 61 + 90059 = 90120
  • 67 + 90053 = 90120
  • 89 + 90031 = 90120
  • 97 + 90023 = 90120

Showing the first eight; more decompositions exist.

Hex color
#016008
RGB(1, 96, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.96.8.

Address
0.1.96.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.96.8

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000090120
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 90120 first appears in π at position 494,399 of the decimal expansion (the 494,399ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.