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10,980

10,980 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
8,901
Flips to (rotate 180°)
8,601
Recamán's sequence
a(174,299) = 10,980
Square (n²)
120,560,400
Cube (n³)
1,323,753,192,000
Divisor count
36
σ(n) — sum of divisors
33,852
φ(n) — Euler's totient
2,880
Sum of prime factors
76

Primality

Prime factorization: 2 2 × 3 2 × 5 × 61

Nearest primes: 10,979 (−1) · 10,987 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 61 · 90 · 122 · 180 · 183 · 244 · 305 · 366 · 549 · 610 · 732 · 915 · 1098 · 1220 · 1830 · 2196 · 2745 · 3660 · 5490 (half) · 10980
Aliquot sum (sum of proper divisors): 22,872
Factor pairs (a × b = 10,980)
1 × 10980
2 × 5490
3 × 3660
4 × 2745
5 × 2196
6 × 1830
9 × 1220
10 × 1098
12 × 915
15 × 732
18 × 610
20 × 549
30 × 366
36 × 305
45 × 244
60 × 183
61 × 180
90 × 122
First multiples
10,980 · 21,960 (double) · 32,940 · 43,920 · 54,900 · 65,880 · 76,860 · 87,840 · 98,820 · 109,800

Sums & aliquot sequence

As a sum of two squares: 24² + 102² = 42² + 96²
As consecutive integers: 3,659 + 3,660 + 3,661 2,194 + 2,195 + 2,196 + 2,197 + 2,198 1,369 + 1,370 + … + 1,376 1,216 + 1,217 + … + 1,224
Aliquot sequence: 10,980 22,872 34,368 57,072 99,168 161,400 340,800 793,056 1,480,992 2,406,864 3,967,728 6,376,848 10,096,800 27,525,792 55,053,600 158,682,720 420,473,760 — unresolved within range

Representations

In words
ten thousand nine hundred eighty
Ordinal
10980th
Binary
10101011100100
Octal
25344
Hexadecimal
0x2AE4
Base64
KuQ=
One's complement
54,555 (16-bit)
In other bases
ternary (3) 120001200
quaternary (4) 2223210
quinary (5) 322410
senary (6) 122500
septenary (7) 44004
nonary (9) 16050
undecimal (11) 8282
duodecimal (12) 6430
tridecimal (13) 4cc8
tetradecimal (14) 4004
pentadecimal (15) 33c0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιϡπʹ
Mayan (base 20)
𝋡·𝋧·𝋩·𝋠
Chinese
一萬零九百八十
Chinese (financial)
壹萬零玖佰捌拾
In other modern scripts
Eastern Arabic ١٠٩٨٠ Devanagari १०९८० Bengali ১০৯৮০ Tamil ௧௦௯௮௦ Thai ๑๐๙๘๐ Tibetan ༡༠༩༨༠ Khmer ១០៩៨០ Lao ໑໐໙໘໐ Burmese ၁၀၉၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,980 = 5
e — Euler's number (e)
Digit 10,980 = 4
φ — Golden ratio (φ)
Digit 10,980 = 2
√2 — Pythagoras's (√2)
Digit 10,980 = 5
ln 2 — Natural log of 2
Digit 10,980 = 7
γ — Euler-Mascheroni (γ)
Digit 10,980 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10980, here are decompositions:

  • 7 + 10973 = 10980
  • 23 + 10957 = 10980
  • 31 + 10949 = 10980
  • 41 + 10939 = 10980
  • 43 + 10937 = 10980
  • 71 + 10909 = 10980
  • 89 + 10891 = 10980
  • 97 + 10883 = 10980

Showing the first eight; more decompositions exist.

Unicode codepoint
Vertical Bar Double Left Turnstile
U+2AE4
Math symbol (Sm)

UTF-8 encoding: E2 AB A4 (3 bytes).

Hex color
#002AE4
RGB(0, 42, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.228.

Address
0.0.42.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.228

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
000010980
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 10980 first appears in π at position 57,303 of the decimal expansion (the 57,303ordinal-suffix:rd 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.