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10,680

10,680 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 Flippable Gapful Number Harshad / Niven Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
8,601
Flips to (rotate 180°)
8,901
Recamán's sequence
a(50,159) = 10,680
Square (n²)
114,062,400
Cube (n³)
1,218,186,432,000
Divisor count
32
σ(n) — sum of divisors
32,400
φ(n) — Euler's totient
2,816
Sum of prime factors
103

Primality

Prime factorization: 2 3 × 3 × 5 × 89

Nearest primes: 10,667 (−13) · 10,687 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 89 · 120 · 178 · 267 · 356 · 445 · 534 · 712 · 890 · 1068 · 1335 · 1780 · 2136 · 2670 · 3560 · 5340 (half) · 10680
Aliquot sum (sum of proper divisors): 21,720
Factor pairs (a × b = 10,680)
1 × 10680
2 × 5340
3 × 3560
4 × 2670
5 × 2136
6 × 1780
8 × 1335
10 × 1068
12 × 890
15 × 712
20 × 534
24 × 445
30 × 356
40 × 267
60 × 178
89 × 120
First multiples
10,680 · 21,360 (double) · 32,040 · 42,720 · 53,400 · 64,080 · 74,760 · 85,440 · 96,120 · 106,800

Sums & aliquot sequence

As consecutive integers: 3,559 + 3,560 + 3,561 2,134 + 2,135 + 2,136 + 2,137 + 2,138 705 + 706 + … + 719 660 + 661 + … + 675
Aliquot sequence: 10,680 21,720 43,800 93,840 227,568 415,248 688,848 1,120,560 3,164,880 6,646,992 12,086,928 28,342,032 45,117,552 79,735,568 89,795,248 88,427,720 111,382,000 — unresolved within range

Representations

In words
ten thousand six hundred eighty
Ordinal
10680th
Binary
10100110111000
Octal
24670
Hexadecimal
0x29B8
Base64
Kbg=
One's complement
54,855 (16-bit)
In other bases
ternary (3) 112122120
quaternary (4) 2212320
quinary (5) 320210
senary (6) 121240
septenary (7) 43065
nonary (9) 15576
undecimal (11) 802a
duodecimal (12) 6220
tridecimal (13) 4b27
tetradecimal (14) 3c6c
pentadecimal (15) 3270

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιχπʹ
Mayan (base 20)
𝋡·𝋦·𝋮·𝋠
Chinese
一萬零六百八十
Chinese (financial)
壹萬零陸佰捌拾
In other modern scripts
Eastern Arabic ١٠٦٨٠ Devanagari १०६८० Bengali ১০৬৮০ Tamil ௧௦௬௮௦ Thai ๑๐๖๘๐ Tibetan ༡༠༦༨༠ Khmer ១០៦៨០ Lao ໑໐໖໘໐ Burmese ၁၀၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,680 = 4
e — Euler's number (e)
Digit 10,680 = 1
φ — Golden ratio (φ)
Digit 10,680 = 3
√2 — Pythagoras's (√2)
Digit 10,680 = 7
ln 2 — Natural log of 2
Digit 10,680 = 2
γ — Euler-Mascheroni (γ)
Digit 10,680 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10680, here are decompositions:

  • 13 + 10667 = 10680
  • 17 + 10663 = 10680
  • 23 + 10657 = 10680
  • 29 + 10651 = 10680
  • 41 + 10639 = 10680
  • 53 + 10627 = 10680
  • 67 + 10613 = 10680
  • 73 + 10607 = 10680

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Reverse Solidus
U+29B8
Math symbol (Sm)

UTF-8 encoding: E2 A6 B8 (3 bytes).

Hex color
#0029B8
RGB(0, 41, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.184.

Address
0.0.41.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.184

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

Position in π

The digit sequence 10680 first appears in π at position 13,461 of the decimal expansion (the 13,461ordinal-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.