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12,768

12,768 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 Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
672
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
86,721
Recamán's sequence
a(48,739) = 12,768
Square (n²)
163,021,824
Cube (n³)
2,081,462,648,832
Divisor count
48
σ(n) — sum of divisors
40,320
φ(n) — Euler's totient
3,456
Sum of prime factors
39

Primality

Prime factorization: 2 5 × 3 × 7 × 19

Nearest primes: 12,763 (−5) · 12,781 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 19 · 21 · 24 · 28 · 32 · 38 · 42 · 48 · 56 · 57 · 76 · 84 · 96 · 112 · 114 · 133 · 152 · 168 · 224 · 228 · 266 · 304 · 336 · 399 · 456 · 532 · 608 · 672 · 798 · 912 · 1064 · 1596 · 1824 · 2128 · 3192 · 4256 · 6384 (half) · 12768
Aliquot sum (sum of proper divisors): 27,552
Factor pairs (a × b = 12,768)
1 × 12768
2 × 6384
3 × 4256
4 × 3192
6 × 2128
7 × 1824
8 × 1596
12 × 1064
14 × 912
16 × 798
19 × 672
21 × 608
24 × 532
28 × 456
32 × 399
38 × 336
42 × 304
48 × 266
56 × 228
57 × 224
76 × 168
84 × 152
96 × 133
112 × 114
First multiples
12,768 · 25,536 (double) · 38,304 · 51,072 · 63,840 · 76,608 · 89,376 · 102,144 · 114,912 · 127,680

Sums & aliquot sequence

As consecutive integers: 4,255 + 4,256 + 4,257 1,821 + 1,822 + … + 1,827 663 + 664 + … + 681 598 + 599 + … + 618
Aliquot sequence: 12,768 27,552 57,120 160,608 323,232 749,280 1,960,224 3,922,464 8,778,336 17,558,688 41,227,872 89,005,728 192,105,312 384,212,640 1,033,196,640 2,701,564,320 7,876,339,296 — unresolved within range

Representations

In words
twelve thousand seven hundred sixty-eight
Ordinal
12768th
Binary
11000111100000
Octal
30740
Hexadecimal
0x31E0
Base64
MeA=
One's complement
52,767 (16-bit)
In other bases
ternary (3) 122111220
quaternary (4) 3013200
quinary (5) 402033
senary (6) 135040
septenary (7) 52140
nonary (9) 18456
undecimal (11) 9658
duodecimal (12) 7480
tridecimal (13) 5a72
tetradecimal (14) 4920
pentadecimal (15) 3bb3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβψξηʹ
Mayan (base 20)
𝋡·𝋫·𝋲·𝋨
Chinese
一萬二千七百六十八
Chinese (financial)
壹萬貳仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٢٧٦٨ Devanagari १२७६८ Bengali ১২৭৬৮ Tamil ௧௨௭௬௮ Thai ๑๒๗๖๘ Tibetan ༡༢༧༦༨ Khmer ១២៧៦៨ Lao ໑໒໗໖໘ Burmese ၁၂၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 12,768 = 8
e — Euler's number (e)
Digit 12,768 = 9
φ — Golden ratio (φ)
Digit 12,768 = 3
√2 — Pythagoras's (√2)
Digit 12,768 = 9
ln 2 — Natural log of 2
Digit 12,768 = 1
γ — Euler-Mascheroni (γ)
Digit 12,768 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12768, here are decompositions:

  • 5 + 12763 = 12768
  • 11 + 12757 = 12768
  • 29 + 12739 = 12768
  • 47 + 12721 = 12768
  • 71 + 12697 = 12768
  • 79 + 12689 = 12768
  • 97 + 12671 = 12768
  • 109 + 12659 = 12768

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Stroke Hxwg
U+31E0
Other symbol (So)

UTF-8 encoding: E3 87 A0 (3 bytes).

Hex color
#0031E0
RGB(0, 49, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.224.

Address
0.0.49.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.49.224

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
000012768
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 12768 first appears in π at position 43,581 of the decimal expansion (the 43,581ordinal-suffix:st 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.