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19,680

19,680 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 Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
8,691
Flips to (rotate 180°)
8,961
Square (n²)
387,302,400
Cube (n³)
7,622,111,232,000
Divisor count
48
σ(n) — sum of divisors
63,504
φ(n) — Euler's totient
5,120
Sum of prime factors
59

Primality

Prime factorization: 2 5 × 3 × 5 × 41

Nearest primes: 19,661 (−19) · 19,681 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 41 · 48 · 60 · 80 · 82 · 96 · 120 · 123 · 160 · 164 · 205 · 240 · 246 · 328 · 410 · 480 · 492 · 615 · 656 · 820 · 984 · 1230 · 1312 · 1640 · 1968 · 2460 · 3280 · 3936 · 4920 · 6560 · 9840 (half) · 19680
Aliquot sum (sum of proper divisors): 43,824
Factor pairs (a × b = 19,680)
1 × 19680
2 × 9840
3 × 6560
4 × 4920
5 × 3936
6 × 3280
8 × 2460
10 × 1968
12 × 1640
15 × 1312
16 × 1230
20 × 984
24 × 820
30 × 656
32 × 615
40 × 492
41 × 480
48 × 410
60 × 328
80 × 246
82 × 240
96 × 205
120 × 164
123 × 160
First multiples
19,680 · 39,360 (double) · 59,040 · 78,720 · 98,400 · 118,080 · 137,760 · 157,440 · 177,120 · 196,800

Sums & aliquot sequence

As consecutive integers: 6,559 + 6,560 + 6,561 3,934 + 3,935 + 3,936 + 3,937 + 3,938 1,305 + 1,306 + … + 1,319 460 + 461 + … + 500
Aliquot sequence: 19,680 43,824 81,168 142,032 259,728 508,080 1,143,600 2,523,576 4,503,624 6,755,496 11,669,304 17,504,016 32,939,184 52,791,936 95,703,744 175,873,056 285,793,968 — unresolved within range

Representations

In words
nineteen thousand six hundred eighty
Ordinal
19680th
Binary
100110011100000
Octal
46340
Hexadecimal
0x4CE0
Base64
TOA=
One's complement
45,855 (16-bit)
In other bases
ternary (3) 222222220
quaternary (4) 10303200
quinary (5) 1112210
senary (6) 231040
septenary (7) 111243
nonary (9) 28886
undecimal (11) 13871
duodecimal (12) b480
tridecimal (13) 8c5b
tetradecimal (14) 725a
pentadecimal (15) 5c70

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιθχπʹ
Mayan (base 20)
𝋢·𝋩·𝋤·𝋠
Chinese
一萬九千六百八十
Chinese (financial)
壹萬玖仟陸佰捌拾
In other modern scripts
Eastern Arabic ١٩٦٨٠ Devanagari १९६८० Bengali ১৯৬৮০ Tamil ௧௯௬௮௦ Thai ๑๙๖๘๐ Tibetan ༡༩༦༨༠ Khmer ១៩៦៨០ Lao ໑໙໖໘໐ Burmese ၁၉၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 19,680 = 9
e — Euler's number (e)
Digit 19,680 = 1
φ — Golden ratio (φ)
Digit 19,680 = 6
√2 — Pythagoras's (√2)
Digit 19,680 = 7
ln 2 — Natural log of 2
Digit 19,680 = 9
γ — Euler-Mascheroni (γ)
Digit 19,680 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 19680, here are decompositions:

  • 19 + 19661 = 19680
  • 71 + 19609 = 19680
  • 83 + 19597 = 19680
  • 97 + 19583 = 19680
  • 103 + 19577 = 19680
  • 109 + 19571 = 19680
  • 127 + 19553 = 19680
  • 137 + 19543 = 19680

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4Ce0
U+4CE0
Other letter (Lo)

UTF-8 encoding: E4 B3 A0 (3 bytes).

Hex color
#004CE0
RGB(0, 76, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.76.224.

Address
0.0.76.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.76.224

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
000019680
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 19680 first appears in π at position 74,336 of the decimal expansion (the 74,336ordinal-suffix:th 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.