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53,760

53,760 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 Harshad / Niven

Properties

Parity
Even
Digit count
5
Digit sum
21
Digital root
3
Palindrome
No
Divisor count
80
σ(n) — sum of divisors
196,416

Primality

Prime factorization: 2 9 × 3 × 5 × 7

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 128 · 140 · 160 · 168 · 192 · 210 · 224 · 240 · 256 · 280 · 320 · 336 · 384 · 420 · 448 · 480 · 512 · 560 · 640 · 672 · 768 · 840 · 896 · 960 · 1120 · 1280 · 1344 · 1536 · 1680 · 1792 · 1920 · 2240 · 2560 · 2688 · 3360 · 3584 · 3840 · 4480 · 5376 · 6720 · 7680 · 8960 · 10752 · 13440 · 17920 · 26880 · 53760
Aliquot sum (sum of proper divisors): 142,656
Factor pairs (a × b = 53,760)
1 × 53760
2 × 26880
3 × 17920
4 × 13440
5 × 10752
6 × 8960
7 × 7680
8 × 6720
10 × 5376
12 × 4480
14 × 3840
15 × 3584
16 × 3360
20 × 2688
21 × 2560
24 × 2240
28 × 1920
30 × 1792
32 × 1680
35 × 1536
40 × 1344
42 × 1280
48 × 1120
56 × 960
60 × 896
64 × 840
70 × 768
80 × 672
84 × 640
96 × 560
105 × 512
112 × 480
120 × 448
128 × 420
140 × 384
160 × 336
168 × 320
192 × 280
210 × 256
224 × 240
First multiples
53,760 · 107,520 · 161,280 · 215,040 · 268,800 · 322,560 · 376,320 · 430,080 · 483,840 · 537,600

Representations

In words
fifty-three thousand seven hundred sixty
Ordinal
53760th
Binary
1101001000000000
Octal
151000
Hexadecimal
D200

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53760, here are decompositions:

  • 29 + 53731 = 53760
  • 41 + 53719 = 53760
  • 43 + 53717 = 53760
  • 61 + 53699 = 53760
  • 67 + 53693 = 53760
  • 79 + 53681 = 53760
  • 103 + 53657 = 53760
  • 107 + 53653 = 53760

Showing the first eight; more decompositions exist.

Unicode codepoint
U+D200
Other letter (Lo)

UTF-8 encoding: ED 88 80 (3 bytes).

Hex color
#00D200
RGB(0, 210, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.0.