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38,640

38,640 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
142,848

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 23

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 23 · 24 · 28 · 30 · 35 · 40 · 42 · 46 · 48 · 56 · 60 · 69 · 70 · 80 · 84 · 92 · 105 · 112 · 115 · 120 · 138 · 140 · 161 · 168 · 184 · 210 · 230 · 240 · 276 · 280 · 322 · 336 · 345 · 368 · 420 · 460 · 483 · 552 · 560 · 644 · 690 · 805 · 840 · 920 · 966 · 1104 · 1288 · 1380 · 1610 · 1680 · 1840 · 1932 · 2415 · 2576 · 2760 · 3220 · 3864 · 4830 · 5520 · 6440 · 7728 · 9660 · 12880 · 19320 · 38640
Aliquot sum (sum of proper divisors): 104,208
Factor pairs (a × b = 38,640)
1 × 38640
2 × 19320
3 × 12880
4 × 9660
5 × 7728
6 × 6440
7 × 5520
8 × 4830
10 × 3864
12 × 3220
14 × 2760
15 × 2576
16 × 2415
20 × 1932
21 × 1840
23 × 1680
24 × 1610
28 × 1380
30 × 1288
35 × 1104
40 × 966
42 × 920
46 × 840
48 × 805
56 × 690
60 × 644
69 × 560
70 × 552
80 × 483
84 × 460
92 × 420
105 × 368
112 × 345
115 × 336
120 × 322
138 × 280
140 × 276
161 × 240
168 × 230
184 × 210
First multiples
38,640 · 77,280 · 115,920 · 154,560 · 193,200 · 231,840 · 270,480 · 309,120 · 347,760 · 386,400

Representations

In words
thirty-eight thousand six hundred forty
Ordinal
38640th
Binary
1001011011110000
Octal
113360
Hexadecimal
96F0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 38640, here are decompositions:

  • 11 + 38629 = 38640
  • 29 + 38611 = 38640
  • 31 + 38609 = 38640
  • 37 + 38603 = 38640
  • 47 + 38593 = 38640
  • 71 + 38569 = 38640
  • 73 + 38567 = 38640
  • 79 + 38561 = 38640

Showing the first eight; more decompositions exist.

Unicode codepoint
U+96F0
Other letter (Lo)

UTF-8 encoding: E9 9B B0 (3 bytes).

Hex color
#0096F0
RGB(0, 150, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.150.240.