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118,116

118,116 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.).

118,116 (one hundred eighteen thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 17 × 193. Its proper divisors sum to 199,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CD64.

Abundant Number Arithmetic Number Cube-Free Flippable Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
48
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
611,811
Flips to (rotate 180°)
911,811
Square (n²)
13,951,389,456
Cube (n³)
1,647,882,316,984,896
Divisor count
36
σ(n) — sum of divisors
317,772
φ(n) — Euler's totient
36,864
Sum of prime factors
220

Primality

Prime factorization: 2 2 × 3 2 × 17 × 193

Nearest primes: 118,093 (−23) · 118,127 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 34 · 36 · 51 · 68 · 102 · 153 · 193 · 204 · 306 · 386 · 579 · 612 · 772 · 1158 · 1737 · 2316 · 3281 · 3474 · 6562 · 6948 · 9843 · 13124 · 19686 · 29529 · 39372 · 59058 (half) · 118116
Aliquot sum (sum of proper divisors): 199,656
Factor pairs (a × b = 118,116)
1 × 118116
2 × 59058
3 × 39372
4 × 29529
6 × 19686
9 × 13124
12 × 9843
17 × 6948
18 × 6562
34 × 3474
36 × 3281
51 × 2316
68 × 1737
102 × 1158
153 × 772
193 × 612
204 × 579
306 × 386
First multiples
118,116 · 236,232 (double) · 354,348 · 472,464 · 590,580 · 708,696 · 826,812 · 944,928 · 1,063,044 · 1,181,160

Sums & aliquot sequence

As a sum of two squares: 96² + 330² = 240² + 246²
As consecutive integers: 39,371 + 39,372 + 39,373 14,761 + 14,762 + … + 14,768 13,120 + 13,121 + … + 13,128 6,940 + 6,941 + … + 6,956
Aliquot sequence: 118,116 199,656 361,944 709,776 1,432,944 2,852,496 5,789,808 10,949,200 16,235,568 30,680,080 44,315,120 63,677,968 75,598,832 75,599,824 75,600,816 139,337,808 245,161,392 — unresolved within range

Continued fraction of √n

√118,116 = [343; (1, 2, 7, 1, 18, 4, 1, 2, 5, 76, 5, 2, 1, 4, 18, 1, 7, 2, 1, 686)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand one hundred sixteen
Ordinal
118116th
Binary
11100110101100100
Octal
346544
Hexadecimal
0x1CD64
Base64
Ac1k
One's complement
4,294,849,179 (32-bit)
Scientific notation
1.18116 × 10⁵
As a duration
118,116 s = 1 day, 8 hours, 48 minutes, 36 seconds
In other bases
ternary (3) 20000000200
quaternary (4) 130311210
quinary (5) 12234431
senary (6) 2310500
septenary (7) 1001235
nonary (9) 200020
undecimal (11) 80819
duodecimal (12) 58430
tridecimal (13) 419bb
tetradecimal (14) 3108c
pentadecimal (15) 24ee6

As an angle

118,116° = 328 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριηριϛʹ
Mayan (base 20)
𝋮·𝋯·𝋥·𝋰
Chinese
一十一萬八千一百一十六
Chinese (financial)
壹拾壹萬捌仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١١٨١١٦ Devanagari ११८११६ Bengali ১১৮১১৬ Tamil ௧௧௮௧௧௬ Thai ๑๑๘๑๑๖ Tibetan ༡༡༨༡༡༦ Khmer ១១៨១១៦ Lao ໑໑໘໑໑໖ Burmese ၁၁၈၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118116, here are decompositions:

  • 23 + 118093 = 118116
  • 59 + 118057 = 118116
  • 73 + 118043 = 118116
  • 79 + 118037 = 118116
  • 83 + 118033 = 118116
  • 127 + 117989 = 118116
  • 137 + 117979 = 118116
  • 139 + 117977 = 118116

Showing the first eight; more decompositions exist.

Unicode codepoint
𜵤
Block Octant-12567
U+1CD64
Other symbol (So)

UTF-8 encoding: F0 9C B5 A4 (4 bytes).

Hex color
#01CD64
RGB(1, 205, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.100.

Address
0.1.205.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.100

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 118,116 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°.