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10,320

10,320 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
2,301
Recamán's sequence
a(23,972) = 10,320
Square (n²)
106,502,400
Cube (n³)
1,099,104,768,000
Divisor count
40
σ(n) — sum of divisors
32,736
φ(n) — Euler's totient
2,688
Sum of prime factors
59

Primality

Prime factorization: 2 4 × 3 × 5 × 43

Nearest primes: 10,313 (−7) · 10,321 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 43 · 48 · 60 · 80 · 86 · 120 · 129 · 172 · 215 · 240 · 258 · 344 · 430 · 516 · 645 · 688 · 860 · 1032 · 1290 · 1720 · 2064 · 2580 · 3440 · 5160 (half) · 10320
Aliquot sum (sum of proper divisors): 22,416
Factor pairs (a × b = 10,320)
1 × 10320
2 × 5160
3 × 3440
4 × 2580
5 × 2064
6 × 1720
8 × 1290
10 × 1032
12 × 860
15 × 688
16 × 645
20 × 516
24 × 430
30 × 344
40 × 258
43 × 240
48 × 215
60 × 172
80 × 129
86 × 120
First multiples
10,320 · 20,640 (double) · 30,960 · 41,280 · 51,600 · 61,920 · 72,240 · 82,560 · 92,880 · 103,200

Sums & aliquot sequence

As consecutive integers: 3,439 + 3,440 + 3,441 2,062 + 2,063 + 2,064 + 2,065 + 2,066 681 + 682 + … + 695 307 + 308 + … + 338
Aliquot sequence: 10,320 22,416 35,616 73,248 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 23,781,648 44,267,568 76,111,632 139,130,668 104,348,008 92,030,552 80,526,748 — unresolved within range

Representations

In words
ten thousand three hundred twenty
Ordinal
10320th
Binary
10100001010000
Octal
24120
Hexadecimal
0x2850
Base64
KFA=
One's complement
55,215 (16-bit)
In other bases
ternary (3) 112011020
quaternary (4) 2201100
quinary (5) 312240
senary (6) 115440
septenary (7) 42042
nonary (9) 15136
undecimal (11) 7832
duodecimal (12) 5b80
tridecimal (13) 490b
tetradecimal (14) 3a92
pentadecimal (15) 30d0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιτκʹ
Mayan (base 20)
𝋡·𝋥·𝋰·𝋠
Chinese
一萬零三百二十
Chinese (financial)
壹萬零參佰貳拾
In other modern scripts
Eastern Arabic ١٠٣٢٠ Devanagari १०३२० Bengali ১০৩২০ Tamil ௧௦௩௨௦ Thai ๑๐๓๒๐ Tibetan ༡༠༣༢༠ Khmer ១០៣២០ Lao ໑໐໓໒໐ Burmese ၁၀၃၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,320 = 7
e — Euler's number (e)
Digit 10,320 = 5
φ — Golden ratio (φ)
Digit 10,320 = 0
√2 — Pythagoras's (√2)
Digit 10,320 = 9
ln 2 — Natural log of 2
Digit 10,320 = 5
γ — Euler-Mascheroni (γ)
Digit 10,320 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10320, here are decompositions:

  • 7 + 10313 = 10320
  • 17 + 10303 = 10320
  • 19 + 10301 = 10320
  • 31 + 10289 = 10320
  • 47 + 10273 = 10320
  • 53 + 10267 = 10320
  • 61 + 10259 = 10320
  • 67 + 10253 = 10320

Showing the first eight; more decompositions exist.

Unicode codepoint
Braille Pattern Dots-57
U+2850
Other symbol (So)

UTF-8 encoding: E2 A1 90 (3 bytes).

Hex color
#002850
RGB(0, 40, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.80.

Address
0.0.40.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.80

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
000010320
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 10320 first appears in π at position 62,603 of the decimal expansion (the 62,603ordinal-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.