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118,560

118,560 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.).

118,560 (one hundred eighteen thousand five hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 13 × 19. Its proper divisors sum to 304,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CF20.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
65,811
Recamán's sequence
a(242,976) = 118,560
Square (n²)
14,056,473,600
Cube (n³)
1,666,535,510,016,000
Divisor count
96
σ(n) — sum of divisors
423,360
φ(n) — Euler's totient
27,648
Sum of prime factors
50

Primality

Prime factorization: 2 5 × 3 × 5 × 13 × 19

Nearest primes: 118,549 (−11) · 118,571 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 19 · 20 · 24 · 26 · 30 · 32 · 38 · 39 · 40 · 48 · 52 · 57 · 60 · 65 · 76 · 78 · 80 · 95 · 96 · 104 · 114 · 120 · 130 · 152 · 156 · 160 · 190 · 195 · 208 · 228 · 240 · 247 · 260 · 285 · 304 · 312 · 380 · 390 · 416 · 456 · 480 · 494 · 520 · 570 · 608 · 624 · 741 · 760 · 780 · 912 · 988 · 1040 · 1140 · 1235 · 1248 · 1482 · 1520 · 1560 · 1824 · 1976 · 2080 · 2280 · 2470 · 2964 · 3040 · 3120 · 3705 · 3952 · 4560 · 4940 · 5928 · 6240 · 7410 · 7904 · 9120 · 9880 · 11856 · 14820 · 19760 · 23712 · 29640 · 39520 · 59280 (half) · 118560
Aliquot sum (sum of proper divisors): 304,800
Factor pairs (a × b = 118,560)
1 × 118560
2 × 59280
3 × 39520
4 × 29640
5 × 23712
6 × 19760
8 × 14820
10 × 11856
12 × 9880
13 × 9120
15 × 7904
16 × 7410
19 × 6240
20 × 5928
24 × 4940
26 × 4560
30 × 3952
32 × 3705
38 × 3120
39 × 3040
40 × 2964
48 × 2470
52 × 2280
57 × 2080
60 × 1976
65 × 1824
76 × 1560
78 × 1520
80 × 1482
95 × 1248
96 × 1235
104 × 1140
114 × 1040
120 × 988
130 × 912
152 × 780
156 × 760
160 × 741
190 × 624
195 × 608
208 × 570
228 × 520
240 × 494
247 × 480
260 × 456
285 × 416
304 × 390
312 × 380
First multiples
118,560 · 237,120 (double) · 355,680 · 474,240 · 592,800 · 711,360 · 829,920 · 948,480 · 1,067,040 · 1,185,600

Sums & aliquot sequence

As consecutive integers: 39,519 + 39,520 + 39,521 23,710 + 23,711 + 23,712 + 23,713 + 23,714 9,114 + 9,115 + … + 9,126 7,897 + 7,898 + … + 7,911
Aliquot sequence: 118,560 304,800 695,136 1,273,488 2,098,320 5,341,680 13,064,880 27,436,992 52,423,656 78,635,544 133,076,376 229,959,024 364,772,256 593,785,344 997,086,048 1,994,174,112 4,050,221,280 — unresolved within range

Continued fraction of √n

√118,560 = [344; (3, 13, 1, 2, 1, 1, 2, 1, 1, 171, 1, 1, 2, 1, 1, 2, 1, 13, 3, 688)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand five hundred sixty
Ordinal
118560th
Binary
11100111100100000
Octal
347440
Hexadecimal
0x1CF20
Base64
Ac8g
One's complement
4,294,848,735 (32-bit)
Scientific notation
1.1856 × 10⁵
As a duration
118,560 s = 1 day, 8 hours, 56 minutes
In other bases
ternary (3) 20000122010
quaternary (4) 130330200
quinary (5) 12243220
senary (6) 2312520
septenary (7) 1002441
nonary (9) 200563
undecimal (11) 81092
duodecimal (12) 58740
tridecimal (13) 41c70
tetradecimal (14) 312c8
pentadecimal (15) 251e0

As an angle

118,560° = 329 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριηφξʹ
Mayan (base 20)
𝋮·𝋰·𝋨·𝋠
Chinese
一十一萬八千五百六十
Chinese (financial)
壹拾壹萬捌仟伍佰陸拾
In other modern scripts
Eastern Arabic ١١٨٥٦٠ Devanagari ११८५६० Bengali ১১৮৫৬০ Tamil ௧௧௮௫௬௦ Thai ๑๑๘๕๖๐ Tibetan ༡༡༨༥༦༠ Khmer ១១៨៥៦០ Lao ໑໑໘໕໖໐ Burmese ၁၁၈၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118560, here are decompositions:

  • 11 + 118549 = 118560
  • 17 + 118543 = 118560
  • 31 + 118529 = 118560
  • 67 + 118493 = 118560
  • 89 + 118471 = 118560
  • 97 + 118463 = 118560
  • 103 + 118457 = 118560
  • 107 + 118453 = 118560

Showing the first eight; more decompositions exist.

Unicode codepoint
𜼠
Znamenny Combining Mark Zelo
U+1CF20
Non-spacing mark (Mn)

UTF-8 encoding: F0 9C BC A0 (4 bytes).

Hex color
#01CF20
RGB(1, 207, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.207.32.

Address
0.1.207.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.207.32

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 118,560 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 118560 first appears in π at position 101,948 of the decimal expansion (the 101,948ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.