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57,120

57,120 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 Happy Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
2,175
Recamán's sequence
a(56,972) = 57,120
Square (n²)
3,262,694,400
Cube (n³)
186,365,104,128,000
Divisor count
96
σ(n) — sum of divisors
217,728
φ(n) — Euler's totient
12,288
Sum of prime factors
42

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 17

Nearest primes: 57,119 (−1) · 57,131 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 17 · 20 · 21 · 24 · 28 · 30 · 32 · 34 · 35 · 40 · 42 · 48 · 51 · 56 · 60 · 68 · 70 · 80 · 84 · 85 · 96 · 102 · 105 · 112 · 119 · 120 · 136 · 140 · 160 · 168 · 170 · 204 · 210 · 224 · 238 · 240 · 255 · 272 · 280 · 336 · 340 · 357 · 408 · 420 · 476 · 480 · 510 · 544 · 560 · 595 · 672 · 680 · 714 · 816 · 840 · 952 · 1020 · 1120 · 1190 · 1360 · 1428 · 1632 · 1680 · 1785 · 1904 · 2040 · 2380 · 2720 · 2856 · 3360 · 3570 · 3808 · 4080 · 4760 · 5712 · 7140 · 8160 · 9520 · 11424 · 14280 · 19040 · 28560 (half) · 57120
Aliquot sum (sum of proper divisors): 160,608
Factor pairs (a × b = 57,120)
1 × 57120
2 × 28560
3 × 19040
4 × 14280
5 × 11424
6 × 9520
7 × 8160
8 × 7140
10 × 5712
12 × 4760
14 × 4080
15 × 3808
16 × 3570
17 × 3360
20 × 2856
21 × 2720
24 × 2380
28 × 2040
30 × 1904
32 × 1785
34 × 1680
35 × 1632
40 × 1428
42 × 1360
48 × 1190
51 × 1120
56 × 1020
60 × 952
68 × 840
70 × 816
80 × 714
84 × 680
85 × 672
96 × 595
102 × 560
105 × 544
112 × 510
119 × 480
120 × 476
136 × 420
140 × 408
160 × 357
168 × 340
170 × 336
204 × 280
210 × 272
224 × 255
238 × 240
First multiples
57,120 · 114,240 (double) · 171,360 · 228,480 · 285,600 · 342,720 · 399,840 · 456,960 · 514,080 · 571,200

Sums & aliquot sequence

As consecutive integers: 19,039 + 19,040 + 19,041 11,422 + 11,423 + 11,424 + 11,425 + 11,426 8,157 + 8,158 + … + 8,163 3,801 + 3,802 + … + 3,815
Aliquot sequence: 57,120 160,608 323,232 749,280 1,960,224 3,922,464 8,778,336 17,558,688 41,227,872 89,005,728 192,105,312 384,212,640 1,033,196,640 2,701,564,320 7,876,339,296 15,800,129,184 — keeps growing

Representations

In words
fifty-seven thousand one hundred twenty
Ordinal
57120th
Binary
1101111100100000
Octal
157440
Hexadecimal
0xDF20
Base64
3yA=
One's complement
8,415 (16-bit)
In other bases
ternary (3) 2220100120
quaternary (4) 31330200
quinary (5) 3311440
senary (6) 1120240
septenary (7) 325350
nonary (9) 86316
undecimal (11) 39a08
duodecimal (12) 29080
tridecimal (13) 1cccb
tetradecimal (14) 16b60
pentadecimal (15) 11dd0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵νζρκʹ
Mayan (base 20)
𝋧·𝋢·𝋰·𝋠
Chinese
五萬七千一百二十
Chinese (financial)
伍萬柒仟壹佰貳拾
In other modern scripts
Eastern Arabic ٥٧١٢٠ Devanagari ५७१२० Bengali ৫৭১২০ Tamil ௫௭௧௨௦ Thai ๕๗๑๒๐ Tibetan ༥༧༡༢༠ Khmer ៥៧១២០ Lao ໕໗໑໒໐ Burmese ၅၇၁၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 57,120 = 5
e — Euler's number (e)
Digit 57,120 = 2
φ — Golden ratio (φ)
Digit 57,120 = 9
√2 — Pythagoras's (√2)
Digit 57,120 = 1
ln 2 — Natural log of 2
Digit 57,120 = 9
γ — Euler-Mascheroni (γ)
Digit 57,120 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 57120, here are decompositions:

  • 13 + 57107 = 57120
  • 23 + 57097 = 57120
  • 31 + 57089 = 57120
  • 43 + 57077 = 57120
  • 47 + 57073 = 57120
  • 61 + 57059 = 57120
  • 73 + 57047 = 57120
  • 79 + 57041 = 57120

Showing the first eight; more decompositions exist.

Hex color
#00DF20
RGB(0, 223, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.223.32.

Address
0.0.223.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.223.32

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

Position in π

The digit sequence 57120 first appears in π at position 4,726 of the decimal expansion (the 4,726ordinal-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.