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55,680

55,680 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 Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
8,655
Recamán's sequence
a(292,460) = 55,680
Square (n²)
3,100,262,400
Cube (n³)
172,622,610,432,000
Divisor count
64
σ(n) — sum of divisors
183,600
φ(n) — Euler's totient
14,336
Sum of prime factors
51

Primality

Prime factorization: 2 7 × 3 × 5 × 29

Nearest primes: 55,673 (−7) · 55,681 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 29 · 30 · 32 · 40 · 48 · 58 · 60 · 64 · 80 · 87 · 96 · 116 · 120 · 128 · 145 · 160 · 174 · 192 · 232 · 240 · 290 · 320 · 348 · 384 · 435 · 464 · 480 · 580 · 640 · 696 · 870 · 928 · 960 · 1160 · 1392 · 1740 · 1856 · 1920 · 2320 · 2784 · 3480 · 3712 · 4640 · 5568 · 6960 · 9280 · 11136 · 13920 · 18560 · 27840 (half) · 55680
Aliquot sum (sum of proper divisors): 127,920
Factor pairs (a × b = 55,680)
1 × 55680
2 × 27840
3 × 18560
4 × 13920
5 × 11136
6 × 9280
8 × 6960
10 × 5568
12 × 4640
15 × 3712
16 × 3480
20 × 2784
24 × 2320
29 × 1920
30 × 1856
32 × 1740
40 × 1392
48 × 1160
58 × 960
60 × 928
64 × 870
80 × 696
87 × 640
96 × 580
116 × 480
120 × 464
128 × 435
145 × 384
160 × 348
174 × 320
192 × 290
232 × 240
First multiples
55,680 · 111,360 (double) · 167,040 · 222,720 · 278,400 · 334,080 · 389,760 · 445,440 · 501,120 · 556,800

Sums & aliquot sequence

As consecutive integers: 18,559 + 18,560 + 18,561 11,134 + 11,135 + 11,136 + 11,137 + 11,138 3,705 + 3,706 + … + 3,719 1,906 + 1,907 + … + 1,934
Aliquot sequence: 55,680 127,920 309,552 490,248 960,552 1,708,248 2,608,152 3,978,648 6,797,052 11,133,588 15,838,700 18,794,500 22,253,780 24,479,200 36,969,992 32,474,548 27,158,732 — unresolved within range

Representations

In words
fifty-five thousand six hundred eighty
Ordinal
55680th
Binary
1101100110000000
Octal
154600
Hexadecimal
0xD980
Base64
2YA=
One's complement
9,855 (16-bit)
In other bases
ternary (3) 2211101020
quaternary (4) 31212000
quinary (5) 3240210
senary (6) 1105440
septenary (7) 321222
nonary (9) 84336
undecimal (11) 38919
duodecimal (12) 28280
tridecimal (13) 1c461
tetradecimal (14) 16412
pentadecimal (15) 11770

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵νεχπʹ
Mayan (base 20)
𝋦·𝋳·𝋤·𝋠
Chinese
五萬五千六百八十
Chinese (financial)
伍萬伍仟陸佰捌拾
In other modern scripts
Eastern Arabic ٥٥٦٨٠ Devanagari ५५६८० Bengali ৫৫৬৮০ Tamil ௫௫௬௮௦ Thai ๕๕๖๘๐ Tibetan ༥༥༦༨༠ Khmer ៥៥៦៨០ Lao ໕໕໖໘໐ Burmese ၅၅၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 55,680 = 8
e — Euler's number (e)
Digit 55,680 = 3
φ — Golden ratio (φ)
Digit 55,680 = 0
√2 — Pythagoras's (√2)
Digit 55,680 = 9
ln 2 — Natural log of 2
Digit 55,680 = 2
γ — Euler-Mascheroni (γ)
Digit 55,680 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 55680, here are decompositions:

  • 7 + 55673 = 55680
  • 13 + 55667 = 55680
  • 17 + 55663 = 55680
  • 19 + 55661 = 55680
  • 41 + 55639 = 55680
  • 47 + 55633 = 55680
  • 59 + 55621 = 55680
  • 61 + 55619 = 55680

Showing the first eight; more decompositions exist.

Hex color
#00D980
RGB(0, 217, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.217.128.

Address
0.0.217.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.217.128

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

Position in π

The digit sequence 55680 first appears in π at position 20,955 of the decimal expansion (the 20,955ordinal-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.