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118,380

118,380 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.).

118,380 (one hundred eighteen thousand three hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,973. Its proper divisors sum to 213,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CE6C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
83,811
Square (n²)
14,013,824,400
Cube (n³)
1,658,956,532,472,000
Divisor count
24
σ(n) — sum of divisors
331,632
φ(n) — Euler's totient
31,552
Sum of prime factors
1,985

Primality

Prime factorization: 2 2 × 3 × 5 × 1973

Nearest primes: 118,373 (−7) · 118,387 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1973 · 3946 · 5919 · 7892 · 9865 · 11838 · 19730 · 23676 · 29595 · 39460 · 59190 (half) · 118380
Aliquot sum (sum of proper divisors): 213,252
Factor pairs (a × b = 118,380)
1 × 118380
2 × 59190
3 × 39460
4 × 29595
5 × 23676
6 × 19730
10 × 11838
12 × 9865
15 × 7892
20 × 5919
30 × 3946
60 × 1973
First multiples
118,380 · 236,760 (double) · 355,140 · 473,520 · 591,900 · 710,280 · 828,660 · 947,040 · 1,065,420 · 1,183,800

Sums & aliquot sequence

As consecutive integers: 39,459 + 39,460 + 39,461 23,674 + 23,675 + 23,676 + 23,677 + 23,678 14,794 + 14,795 + … + 14,801 7,885 + 7,886 + … + 7,899
Aliquot sequence: 118,380 213,252 323,004 499,524 666,060 1,311,636 1,748,876 1,311,664 1,266,792 1,900,248 3,529,512 7,702,488 13,158,612 23,279,328 42,922,080 107,328,384 204,069,456 — unresolved within range

Continued fraction of √n

√118,380 = [344; (15, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 28, 11, 1, 1, 1, 2, 4, 1, 1, 62, 172, 62, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand three hundred eighty
Ordinal
118380th
Binary
11100111001101100
Octal
347154
Hexadecimal
0x1CE6C
Base64
Ac5s
One's complement
4,294,848,915 (32-bit)
Scientific notation
1.1838 × 10⁵
As a duration
118,380 s = 1 day, 8 hours, 53 minutes
In other bases
ternary (3) 20000101110
quaternary (4) 130321230
quinary (5) 12242010
senary (6) 2312020
septenary (7) 1002063
nonary (9) 200343
undecimal (11) 80a39
duodecimal (12) 58610
tridecimal (13) 41b62
tetradecimal (14) 311da
pentadecimal (15) 25120

As an angle

118,380° = 328 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριητπʹ
Mayan (base 20)
𝋮·𝋯·𝋳·𝋠
Chinese
一十一萬八千三百八十
Chinese (financial)
壹拾壹萬捌仟參佰捌拾
In other modern scripts
Eastern Arabic ١١٨٣٨٠ Devanagari ११८३८० Bengali ১১৮৩৮০ Tamil ௧௧௮௩௮௦ Thai ๑๑๘๓๘๐ Tibetan ༡༡༨༣༨༠ Khmer ១១៨៣៨០ Lao ໑໑໘໓໘໐ Burmese ၁၁၈၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118380, here are decompositions:

  • 7 + 118373 = 118380
  • 11 + 118369 = 118380
  • 19 + 118361 = 118380
  • 37 + 118343 = 118380
  • 83 + 118297 = 118380
  • 103 + 118277 = 118380
  • 107 + 118273 = 118380
  • 127 + 118253 = 118380

Showing the first eight; more decompositions exist.

Unicode codepoint
𜹬
Separated Block Sextant-345
U+1CE6C
Other symbol (So)

UTF-8 encoding: F0 9C B9 AC (4 bytes).

Hex color
#01CE6C
RGB(1, 206, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.206.108.

Address
0.1.206.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.206.108

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 118,380 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 118380 first appears in π at position 178,697 of the decimal expansion (the 178,697ordinal-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°.