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88,080

88,080 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 Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
8,088
Flips to (rotate 180°)
8,088
Recamán's sequence
a(111,771) = 88,080
Square (n²)
7,758,086,400
Cube (n³)
683,332,250,112,000
Divisor count
40
σ(n) — sum of divisors
273,792
φ(n) — Euler's totient
23,424
Sum of prime factors
383

Primality

Prime factorization: 2 4 × 3 × 5 × 367

Nearest primes: 88,079 (−1) · 88,093 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 367 · 734 · 1101 · 1468 · 1835 · 2202 · 2936 · 3670 · 4404 · 5505 · 5872 · 7340 · 8808 · 11010 · 14680 · 17616 · 22020 · 29360 · 44040 (half) · 88080
Aliquot sum (sum of proper divisors): 185,712
Factor pairs (a × b = 88,080)
1 × 88080
2 × 44040
3 × 29360
4 × 22020
5 × 17616
6 × 14680
8 × 11010
10 × 8808
12 × 7340
15 × 5872
16 × 5505
20 × 4404
24 × 3670
30 × 2936
40 × 2202
48 × 1835
60 × 1468
80 × 1101
120 × 734
240 × 367
First multiples
88,080 · 176,160 (double) · 264,240 · 352,320 · 440,400 · 528,480 · 616,560 · 704,640 · 792,720 · 880,800

Sums & aliquot sequence

As consecutive integers: 29,359 + 29,360 + 29,361 17,614 + 17,615 + 17,616 + 17,617 + 17,618 5,865 + 5,866 + … + 5,879 2,737 + 2,738 + … + 2,768
Aliquot sequence: 88,080 185,712 309,792 621,600 1,753,248 3,508,512 7,523,040 19,572,000 54,020,064 108,042,144 223,710,816 447,423,648 910,110,432 2,068,456,992 4,247,738,544 8,770,983,760 18,628,405,424 — keeps growing

Representations

In words
eighty-eight thousand eighty
Ordinal
88080th
Binary
10101100000010000
Octal
254020
Hexadecimal
0x15810
Base64
AVgQ
One's complement
4,294,879,215 (32-bit)
In other bases
ternary (3) 11110211020
quaternary (4) 111200100
quinary (5) 10304310
senary (6) 1515440
septenary (7) 514536
nonary (9) 143736
undecimal (11) 601a3
duodecimal (12) 42b80
tridecimal (13) 31125
tetradecimal (14) 24156
pentadecimal (15) 1b170

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵πηπʹ
Mayan (base 20)
𝋫·𝋠·𝋤·𝋠
Chinese
八萬八千零八十
Chinese (financial)
捌萬捌仟零捌拾
In other modern scripts
Eastern Arabic ٨٨٠٨٠ Devanagari ८८०८० Bengali ৮৮০৮০ Tamil ௮௮௦௮௦ Thai ๘๘๐๘๐ Tibetan ༨༨༠༨༠ Khmer ៨៨០៨០ Lao ໘໘໐໘໐ Burmese ၈၈၀၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 88,080 = 3
e — Euler's number (e)
Digit 88,080 = 0
φ — Golden ratio (φ)
Digit 88,080 = 5
√2 — Pythagoras's (√2)
Digit 88,080 = 7
ln 2 — Natural log of 2
Digit 88,080 = 9
γ — Euler-Mascheroni (γ)
Digit 88,080 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 88080, here are decompositions:

  • 11 + 88069 = 88080
  • 43 + 88037 = 88080
  • 61 + 88019 = 88080
  • 73 + 88007 = 88080
  • 79 + 88001 = 88080
  • 89 + 87991 = 88080
  • 103 + 87977 = 88080
  • 107 + 87973 = 88080

Showing the first eight; more decompositions exist.

Hex color
#015810
RGB(1, 88, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.88.16.

Address
0.1.88.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.88.16

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
000088080
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 88080 first appears in π at position 233,365 of the decimal expansion (the 233,365ordinal-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.