Live analysis

13,440

13,440 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: 12
Digital root: 3
Palindrome: No
Divisor count: 64
σ(n) — sum of divisors: 48,960

Primality

Prime factorization: 2 ⁷ × 3 × 5 × 7

Divisors & multiples

All divisors (64)

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 · 280 · 320 · 336 · 384 · 420 · 448 · 480 · 560 · 640 · 672 · 840 · 896 · 960 · 1120 · 1344 · 1680 · 1920 · 2240 · 2688 · 3360 · 4480 · 6720 · 13440

Aliquot sum (sum of proper divisors): 35,520

Factor pairs (a × b = 13,440)

1 × 13440

2 × 6720

3 × 4480

4 × 3360

5 × 2688

6 × 2240

7 × 1920

8 × 1680

10 × 1344

12 × 1120

14 × 960

15 × 896

16 × 840

20 × 672

21 × 640

24 × 560

28 × 480

30 × 448

32 × 420

35 × 384

40 × 336

42 × 320

48 × 280

56 × 240

60 × 224

64 × 210

70 × 192

80 × 168

84 × 160

96 × 140

105 × 128

112 × 120

First multiples

13,440 · 26,880 · 40,320 · 53,760 · 67,200 · 80,640 · 94,080 · 107,520 · 120,960 · 134,400

Representations

In words: thirteen thousand four hundred forty
Ordinal: 13440th
Binary: 11010010000000
Octal: 32200
Hexadecimal: 3480

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13440, here are decompositions:

19 + 13421 = 13440
23 + 13417 = 13440
29 + 13411 = 13440
41 + 13399 = 13440
43 + 13397 = 13440
59 + 13381 = 13440
73 + 13367 = 13440
101 + 13339 = 13440

Showing the first eight; more decompositions exist.

Unicode codepoint

㒀

U+3480

Other letter (Lo)

UTF-8 encoding: E3 92 80 (3 bytes).

Lookup U+3480 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003480

RGB(0, 52, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.128.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000013440

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.

Look up 000013440 on FedACH ↗ Routing Number Lookup (Wise) ↗