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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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
4,431
Recamán's sequence
a(47,395) = 13,440
Square (n²)
180,633,600
Cube (n³)
2,427,715,584,000
Divisor count
64
σ(n) — sum of divisors
48,960
φ(n) — Euler's totient
3,072
Sum of prime factors
29

Primality

Prime factorization: 2 7 × 3 × 5 × 7

Nearest primes: 13,421 (−19) · 13,441 (+1)

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 (half) · 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 (double) · 40,320 · 53,760 · 67,200 · 80,640 · 94,080 · 107,520 · 120,960 · 134,400

Sums & aliquot sequence

As consecutive integers: 4,479 + 4,480 + 4,481 2,686 + 2,687 + 2,688 + 2,689 + 2,690 1,917 + 1,918 + … + 1,923 889 + 890 + … + 903
Aliquot sequence: 13,440 35,520 80,304 157,776 273,744 492,762 550,950 815,778 997,182 1,163,418 1,188,582 1,188,594 1,947,726 2,817,738 5,269,302 6,337,098 7,991,190 — unresolved within range

Representations

In words
thirteen thousand four hundred forty
Ordinal
13440th
Binary
11010010000000
Octal
32200
Hexadecimal
0x3480
Base64
NIA=
One's complement
52,095 (16-bit)
In other bases
ternary (3) 200102210
quaternary (4) 3102000
quinary (5) 412230
senary (6) 142120
septenary (7) 54120
nonary (9) 20383
undecimal (11) a109
duodecimal (12) 7940
tridecimal (13) 616b
tetradecimal (14) 4c80
pentadecimal (15) 3eb0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγυμʹ
Mayan (base 20)
𝋡·𝋭·𝋬·𝋠
Chinese
一萬三千四百四十
Chinese (financial)
壹萬參仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٣٤٤٠ Devanagari १३४४० Bengali ১৩৪৪০ Tamil ௧௩௪௪௦ Thai ๑๓๔๔๐ Tibetan ༡༣༤༤༠ Khmer ១៣៤៤០ Lao ໑໓໔໔໐ Burmese ၁၃၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,440 = 4
e — Euler's number (e)
Digit 13,440 = 8
φ — Golden ratio (φ)
Digit 13,440 = 9
√2 — Pythagoras's (√2)
Digit 13,440 = 7
ln 2 — Natural log of 2
Digit 13,440 = 8
γ — Euler-Mascheroni (γ)
Digit 13,440 = 5

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
CJK Unified Ideograph-3480
U+3480
Other letter (Lo)

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

Hex color
#003480
RGB(0, 52, 128)
IPv4 address

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

Address
0.0.52.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

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.

Position in π

The digit sequence 13440 first appears in π at position 4,213 of the decimal expansion (the 4,213ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.