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5,040

5,040 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 Factorial Harshad / Niven

Properties

Parity
Even
Digit count
4
Digit sum
9
Digital root
9
Palindrome
No
Divisor count
60
σ(n) — sum of divisors
19,344

Primality

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

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 48 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 105 · 112 · 120 · 126 · 140 · 144 · 168 · 180 · 210 · 240 · 252 · 280 · 315 · 336 · 360 · 420 · 504 · 560 · 630 · 720 · 840 · 1008 · 1260 · 1680 · 2520 · 5040
Aliquot sum (sum of proper divisors): 14,304
Factor pairs (a × b = 5,040)
1 × 5040
2 × 2520
3 × 1680
4 × 1260
5 × 1008
6 × 840
7 × 720
8 × 630
9 × 560
10 × 504
12 × 420
14 × 360
15 × 336
16 × 315
18 × 280
20 × 252
21 × 240
24 × 210
28 × 180
30 × 168
35 × 144
36 × 140
40 × 126
42 × 120
45 × 112
48 × 105
56 × 90
60 × 84
63 × 80
70 × 72
First multiples
5,040 · 10,080 · 15,120 · 20,160 · 25,200 · 30,240 · 35,280 · 40,320 · 45,360 · 50,400

Representations

In words
five thousand forty
Ordinal
5040th
Binary
1001110110000
Octal
11660
Hexadecimal
13B0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5040, here are decompositions:

  • 17 + 5023 = 5040
  • 19 + 5021 = 5040
  • 29 + 5011 = 5040
  • 31 + 5009 = 5040
  • 37 + 5003 = 5040
  • 41 + 4999 = 5040
  • 47 + 4993 = 5040
  • 53 + 4987 = 5040

Showing the first eight; more decompositions exist.

Unicode codepoint
U+13B0
Uppercase letter (Lu)

UTF-8 encoding: E1 8E B0 (3 bytes).

Hex color
#0013B0
RGB(0, 19, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.176.