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88,320

88,320 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

Properties

Parity
Even
Digit count
5
Digit sum
21
Digital root
3
Palindrome
No
Divisor count
72
σ(n) — sum of divisors
294,336

Primality

Prime factorization: 2 8 × 3 × 5 × 23

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 30 · 32 · 40 · 46 · 48 · 60 · 64 · 69 · 80 · 92 · 96 · 115 · 120 · 128 · 138 · 160 · 184 · 192 · 230 · 240 · 256 · 276 · 320 · 345 · 368 · 384 · 460 · 480 · 552 · 640 · 690 · 736 · 768 · 920 · 960 · 1104 · 1280 · 1380 · 1472 · 1840 · 1920 · 2208 · 2760 · 2944 · 3680 · 3840 · 4416 · 5520 · 5888 · 7360 · 8832 · 11040 · 14720 · 17664 · 22080 · 29440 · 44160 · 88320
Aliquot sum (sum of proper divisors): 206,016
Factor pairs (a × b = 88,320)
1 × 88320
2 × 44160
3 × 29440
4 × 22080
5 × 17664
6 × 14720
8 × 11040
10 × 8832
12 × 7360
15 × 5888
16 × 5520
20 × 4416
23 × 3840
24 × 3680
30 × 2944
32 × 2760
40 × 2208
46 × 1920
48 × 1840
60 × 1472
64 × 1380
69 × 1280
80 × 1104
92 × 960
96 × 920
115 × 768
120 × 736
128 × 690
138 × 640
160 × 552
184 × 480
192 × 460
230 × 384
240 × 368
256 × 345
276 × 320
First multiples
88,320 · 176,640 · 264,960 · 353,280 · 441,600 · 529,920 · 618,240 · 706,560 · 794,880 · 883,200

Representations

In words
eighty-eight thousand three hundred twenty
Ordinal
88320th
Binary
10101100100000000
Octal
254400
Hexadecimal
15900

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 88320, here are decompositions:

  • 19 + 88301 = 88320
  • 31 + 88289 = 88320
  • 59 + 88261 = 88320
  • 61 + 88259 = 88320
  • 79 + 88241 = 88320
  • 83 + 88237 = 88320
  • 97 + 88223 = 88320
  • 109 + 88211 = 88320

Showing the first eight; more decompositions exist.

Hex color
#015900
RGB(1, 89, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.89.0.