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23,680

23,680 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 Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
8,632
Recamán's sequence
a(38,955) = 23,680
Square (n²)
560,742,400
Cube (n³)
13,278,380,032,000
Divisor count
32
σ(n) — sum of divisors
58,140
φ(n) — Euler's totient
9,216
Sum of prime factors
56

Primality

Prime factorization: 2 7 × 5 × 37

Nearest primes: 23,677 (−3) · 23,687 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 37 · 40 · 64 · 74 · 80 · 128 · 148 · 160 · 185 · 296 · 320 · 370 · 592 · 640 · 740 · 1184 · 1480 · 2368 · 2960 · 4736 · 5920 · 11840 (half) · 23680
Aliquot sum (sum of proper divisors): 34,460
Factor pairs (a × b = 23,680)
1 × 23680
2 × 11840
4 × 5920
5 × 4736
8 × 2960
10 × 2368
16 × 1480
20 × 1184
32 × 740
37 × 640
40 × 592
64 × 370
74 × 320
80 × 296
128 × 185
148 × 160
First multiples
23,680 · 47,360 (double) · 71,040 · 94,720 · 118,400 · 142,080 · 165,760 · 189,440 · 213,120 · 236,800

Sums & aliquot sequence

As a sum of two squares: 24² + 152² = 72² + 136²
As consecutive integers: 4,734 + 4,735 + 4,736 + 4,737 + 4,738 622 + 623 + … + 658 36 + 37 + … + 220
Aliquot sequence: 23,680 34,460 37,948 30,092 22,576 24,296 21,274 13,574 8,674 4,340 6,412 6,468 12,684 21,364 22,526 16,114 11,534 — unresolved within range

Representations

In words
twenty-three thousand six hundred eighty
Ordinal
23680th
Binary
101110010000000
Octal
56200
Hexadecimal
0x5C80
Base64
XIA=
One's complement
41,855 (16-bit)
In other bases
ternary (3) 1012111001
quaternary (4) 11302000
quinary (5) 1224210
senary (6) 301344
septenary (7) 126016
nonary (9) 35431
undecimal (11) 16878
duodecimal (12) 11854
tridecimal (13) aa17
tetradecimal (14) 88b6
pentadecimal (15) 703a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κγχπʹ
Mayan (base 20)
𝋢·𝋳·𝋤·𝋠
Chinese
二萬三千六百八十
Chinese (financial)
貳萬參仟陸佰捌拾
In other modern scripts
Eastern Arabic ٢٣٦٨٠ Devanagari २३६८० Bengali ২৩৬৮০ Tamil ௨௩௬௮௦ Thai ๒๓๖๘๐ Tibetan ༢༣༦༨༠ Khmer ២៣៦៨០ Lao ໒໓໖໘໐ Burmese ၂၃၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 23,680 = 4
e — Euler's number (e)
Digit 23,680 = 4
φ — Golden ratio (φ)
Digit 23,680 = 1
√2 — Pythagoras's (√2)
Digit 23,680 = 7
ln 2 — Natural log of 2
Digit 23,680 = 6
γ — Euler-Mascheroni (γ)
Digit 23,680 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23680, here are decompositions:

  • 3 + 23677 = 23680
  • 11 + 23669 = 23680
  • 17 + 23663 = 23680
  • 47 + 23633 = 23680
  • 53 + 23627 = 23680
  • 71 + 23609 = 23680
  • 113 + 23567 = 23680
  • 131 + 23549 = 23680

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5C80
U+5C80
Other letter (Lo)

UTF-8 encoding: E5 B2 80 (3 bytes).

Hex color
#005C80
RGB(0, 92, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.92.128.

Address
0.0.92.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.92.128

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

Position in π

The digit sequence 23680 first appears in π at position 39,351 of the decimal expansion (the 39,351ordinal-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.