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118,080

118,080 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.).

118,080 (one hundred eighteen thousand eighty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 41. Its proper divisors sum to 297,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CD40.

Abundant Number Arithmetic Number Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
80,811
Flips to (rotate 180°)
80,811
Square (n²)
13,942,886,400
Cube (n³)
1,646,376,026,112,000
Divisor count
84
σ(n) — sum of divisors
416,052
φ(n) — Euler's totient
30,720
Sum of prime factors
64

Primality

Prime factorization: 2 6 × 3 2 × 5 × 41

Nearest primes: 118,061 (−19) · 118,081 (+1)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 41 · 45 · 48 · 60 · 64 · 72 · 80 · 82 · 90 · 96 · 120 · 123 · 144 · 160 · 164 · 180 · 192 · 205 · 240 · 246 · 288 · 320 · 328 · 360 · 369 · 410 · 480 · 492 · 576 · 615 · 656 · 720 · 738 · 820 · 960 · 984 · 1230 · 1312 · 1440 · 1476 · 1640 · 1845 · 1968 · 2460 · 2624 · 2880 · 2952 · 3280 · 3690 · 3936 · 4920 · 5904 · 6560 · 7380 · 7872 · 9840 · 11808 · 13120 · 14760 · 19680 · 23616 · 29520 · 39360 · 59040 (half) · 118080
Aliquot sum (sum of proper divisors): 297,972
Factor pairs (a × b = 118,080)
1 × 118080
2 × 59040
3 × 39360
4 × 29520
5 × 23616
6 × 19680
8 × 14760
9 × 13120
10 × 11808
12 × 9840
15 × 7872
16 × 7380
18 × 6560
20 × 5904
24 × 4920
30 × 3936
32 × 3690
36 × 3280
40 × 2952
41 × 2880
45 × 2624
48 × 2460
60 × 1968
64 × 1845
72 × 1640
80 × 1476
82 × 1440
90 × 1312
96 × 1230
120 × 984
123 × 960
144 × 820
160 × 738
164 × 720
180 × 656
192 × 615
205 × 576
240 × 492
246 × 480
288 × 410
320 × 369
328 × 360
First multiples
118,080 · 236,160 (double) · 354,240 · 472,320 · 590,400 · 708,480 · 826,560 · 944,640 · 1,062,720 · 1,180,800

Sums & aliquot sequence

As a sum of two squares: 72² + 336² = 144² + 312²
As consecutive integers: 39,359 + 39,360 + 39,361 23,614 + 23,615 + 23,616 + 23,617 + 23,618 13,116 + 13,117 + … + 13,124 7,865 + 7,866 + … + 7,879
Aliquot sequence: 118,080 297,972 508,428 823,812 1,300,044 1,760,244 2,435,724 4,217,076 6,716,364 8,997,684 11,996,940 22,033,140 39,659,820 80,332,500 153,917,516 115,583,716 94,732,572 — unresolved within range

Continued fraction of √n

√118,080 = [343; (1, 1, 1, 2, 5, 2, 2, 171, 2, 2, 5, 2, 1, 1, 1, 686)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand eighty
Ordinal
118080th
Binary
11100110101000000
Octal
346500
Hexadecimal
0x1CD40
Base64
Ac1A
One's complement
4,294,849,215 (32-bit)
Scientific notation
1.1808 × 10⁵
As a duration
118,080 s = 1 day, 8 hours, 48 minutes
In other bases
ternary (3) 12222222100
quaternary (4) 130311000
quinary (5) 12234310
senary (6) 2310400
septenary (7) 1001154
nonary (9) 188870
undecimal (11) 80796
duodecimal (12) 58400
tridecimal (13) 41991
tetradecimal (14) 31064
pentadecimal (15) 24ec0

As an angle

118,080° = 328 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριηπʹ
Mayan (base 20)
𝋮·𝋯·𝋤·𝋠
Chinese
一十一萬八千零八十
Chinese (financial)
壹拾壹萬捌仟零捌拾
In other modern scripts
Eastern Arabic ١١٨٠٨٠ Devanagari ११८०८० Bengali ১১৮০৮০ Tamil ௧௧௮௦௮௦ Thai ๑๑๘๐๘๐ Tibetan ༡༡༨༠༨༠ Khmer ១១៨០៨០ Lao ໑໑໘໐໘໐ Burmese ၁၁၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118080, here are decompositions:

  • 19 + 118061 = 118080
  • 23 + 118057 = 118080
  • 29 + 118051 = 118080
  • 37 + 118043 = 118080
  • 43 + 118037 = 118080
  • 47 + 118033 = 118080
  • 89 + 117991 = 118080
  • 101 + 117979 = 118080

Showing the first eight; more decompositions exist.

Unicode codepoint
𜵀
Block Octant-1247
U+1CD40
Other symbol (So)

UTF-8 encoding: F0 9C B5 80 (4 bytes).

Hex color
#01CD40
RGB(1, 205, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.64.

Address
0.1.205.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.64

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 118,080 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 118080 first appears in π at position 27,337 of the decimal expansion (the 27,337ordinal-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°.