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53,760

53,760 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 Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
6,735
Recamán's sequence
a(293,932) = 53,760
Square (n²)
2,890,137,600
Cube (n³)
155,373,797,376,000
Divisor count
80
σ(n) — sum of divisors
196,416
φ(n) — Euler's totient
12,288
Sum of prime factors
33

Primality

Prime factorization: 2 9 × 3 × 5 × 7

Nearest primes: 53,759 (−1) · 53,773 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 128 · 140 · 160 · 168 · 192 · 210 · 224 · 240 · 256 · 280 · 320 · 336 · 384 · 420 · 448 · 480 · 512 · 560 · 640 · 672 · 768 · 840 · 896 · 960 · 1120 · 1280 · 1344 · 1536 · 1680 · 1792 · 1920 · 2240 · 2560 · 2688 · 3360 · 3584 · 3840 · 4480 · 5376 · 6720 · 7680 · 8960 · 10752 · 13440 · 17920 · 26880 (half) · 53760
Aliquot sum (sum of proper divisors): 142,656
Factor pairs (a × b = 53,760)
1 × 53760
2 × 26880
3 × 17920
4 × 13440
5 × 10752
6 × 8960
7 × 7680
8 × 6720
10 × 5376
12 × 4480
14 × 3840
15 × 3584
16 × 3360
20 × 2688
21 × 2560
24 × 2240
28 × 1920
30 × 1792
32 × 1680
35 × 1536
40 × 1344
42 × 1280
48 × 1120
56 × 960
60 × 896
64 × 840
70 × 768
80 × 672
84 × 640
96 × 560
105 × 512
112 × 480
120 × 448
128 × 420
140 × 384
160 × 336
168 × 320
192 × 280
210 × 256
224 × 240
First multiples
53,760 · 107,520 (double) · 161,280 · 215,040 · 268,800 · 322,560 · 376,320 · 430,080 · 483,840 · 537,600

Sums & aliquot sequence

As consecutive integers: 17,919 + 17,920 + 17,921 10,750 + 10,751 + 10,752 + 10,753 + 10,754 7,677 + 7,678 + … + 7,683 3,577 + 3,578 + … + 3,591
Aliquot sequence: 53,760 142,656 235,296 485,424 873,492 1,191,564 2,437,236 3,881,804 2,938,324 2,257,440 4,855,008 8,039,328 16,055,904 26,091,096 39,136,704 65,470,656 119,603,904 — unresolved within range

Representations

In words
fifty-three thousand seven hundred sixty
Ordinal
53760th
Binary
1101001000000000
Octal
151000
Hexadecimal
0xD200
Base64
0gA=
One's complement
11,775 (16-bit)
In other bases
ternary (3) 2201202010
quaternary (4) 31020000
quinary (5) 3210020
senary (6) 1052520
septenary (7) 312510
nonary (9) 81663
undecimal (11) 37433
duodecimal (12) 27140
tridecimal (13) 1b615
tetradecimal (14) 15840
pentadecimal (15) 10de0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵νγψξʹ
Mayan (base 20)
𝋦·𝋮·𝋨·𝋠
Chinese
五萬三千七百六十
Chinese (financial)
伍萬參仟柒佰陸拾
In other modern scripts
Eastern Arabic ٥٣٧٦٠ Devanagari ५३७६० Bengali ৫৩৭৬০ Tamil ௫௩௭௬௦ Thai ๕๓๗๖๐ Tibetan ༥༣༧༦༠ Khmer ៥៣៧៦០ Lao ໕໓໗໖໐ Burmese ၅၃၇၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 53,760 = 9
e — Euler's number (e)
Digit 53,760 = 8
φ — Golden ratio (φ)
Digit 53,760 = 2
√2 — Pythagoras's (√2)
Digit 53,760 = 7
ln 2 — Natural log of 2
Digit 53,760 = 7
γ — Euler-Mascheroni (γ)
Digit 53,760 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53760, here are decompositions:

  • 29 + 53731 = 53760
  • 41 + 53719 = 53760
  • 43 + 53717 = 53760
  • 61 + 53699 = 53760
  • 67 + 53693 = 53760
  • 79 + 53681 = 53760
  • 103 + 53657 = 53760
  • 107 + 53653 = 53760

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Toels
U+D200
Other letter (Lo)

UTF-8 encoding: ED 88 80 (3 bytes).

Hex color
#00D200
RGB(0, 210, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.0.

Address
0.0.210.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.210.0

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

Position in π

The digit sequence 53760 first appears in π at position 364,685 of the decimal expansion (the 364,685ordinal-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.