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118,188

118,188 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.).

118,188 (one hundred eighteen thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 7² × 67. Its proper divisors sum to 234,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CDAC.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
512
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
881,811
Flips to (rotate 180°)
881,811
Square (n²)
13,968,403,344
Cube (n³)
1,650,897,654,420,672
Divisor count
54
σ(n) — sum of divisors
352,716
φ(n) — Euler's totient
33,264
Sum of prime factors
91

Primality

Prime factorization: 2 2 × 3 2 × 7 2 × 67

Nearest primes: 118,171 (−17) · 118,189 (+1)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 49 · 63 · 67 · 84 · 98 · 126 · 134 · 147 · 196 · 201 · 252 · 268 · 294 · 402 · 441 · 469 · 588 · 603 · 804 · 882 · 938 · 1206 · 1407 · 1764 · 1876 · 2412 · 2814 · 3283 · 4221 · 5628 · 6566 · 8442 · 9849 · 13132 · 16884 · 19698 · 29547 · 39396 · 59094 (half) · 118188
Aliquot sum (sum of proper divisors): 234,528
Factor pairs (a × b = 118,188)
1 × 118188
2 × 59094
3 × 39396
4 × 29547
6 × 19698
7 × 16884
9 × 13132
12 × 9849
14 × 8442
18 × 6566
21 × 5628
28 × 4221
36 × 3283
42 × 2814
49 × 2412
63 × 1876
67 × 1764
84 × 1407
98 × 1206
126 × 938
134 × 882
147 × 804
196 × 603
201 × 588
252 × 469
268 × 441
294 × 402
First multiples
118,188 · 236,376 (double) · 354,564 · 472,752 · 590,940 · 709,128 · 827,316 · 945,504 · 1,063,692 · 1,181,880

Sums & aliquot sequence

As consecutive integers: 39,395 + 39,396 + 39,397 16,881 + 16,882 + … + 16,887 14,770 + 14,771 + … + 14,777 13,128 + 13,129 + … + 13,136
Aliquot sequence: 118,188 234,528 471,072 944,160 2,466,912 4,935,840 14,369,376 28,740,768 62,059,872 130,992,288 269,016,384 621,974,976 1,277,441,088 2,999,317,440 8,078,437,392 12,790,859,328 — keeps growing

Continued fraction of √n

√118,188 = [343; (1, 3, 1, 1, 1, 5, 25, 3, 2, 7, 2, 1, 1, 1, 1, 7, 1, 6, 1, 13, 6, 3, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand one hundred eighty-eight
Ordinal
118188th
Binary
11100110110101100
Octal
346654
Hexadecimal
0x1CDAC
Base64
Ac2s
One's complement
4,294,849,107 (32-bit)
Scientific notation
1.18188 × 10⁵
As a duration
118,188 s = 1 day, 8 hours, 49 minutes, 48 seconds
In other bases
ternary (3) 20000010100
quaternary (4) 130312230
quinary (5) 12240223
senary (6) 2311100
septenary (7) 1001400
nonary (9) 200110
undecimal (11) 80884
duodecimal (12) 58490
tridecimal (13) 41a45
tetradecimal (14) 31100
pentadecimal (15) 25043

As an angle

118,188° = 328 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριηρπηʹ
Mayan (base 20)
𝋮·𝋯·𝋩·𝋨
Chinese
一十一萬八千一百八十八
Chinese (financial)
壹拾壹萬捌仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١١٨١٨٨ Devanagari ११८१८८ Bengali ১১৮১৮৮ Tamil ௧௧௮௧௮௮ Thai ๑๑๘๑๘๘ Tibetan ༡༡༨༡༨༨ Khmer ១១៨១៨៨ Lao ໑໑໘໑໘໘ Burmese ၁၁၈၁၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118188, here are decompositions:

  • 17 + 118171 = 118188
  • 19 + 118169 = 118188
  • 41 + 118147 = 118188
  • 61 + 118127 = 118188
  • 107 + 118081 = 118188
  • 127 + 118061 = 118188
  • 131 + 118057 = 118188
  • 137 + 118051 = 118188

Showing the first eight; more decompositions exist.

Unicode codepoint
𜶬
Block Octant-178
U+1CDAC
Other symbol (So)

UTF-8 encoding: F0 9C B6 AC (4 bytes).

Hex color
#01CDAC
RGB(1, 205, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.172.

Address
0.1.205.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.172

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 118,188 and was likely granted around 1871.

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

Related reading

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