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118,040

118,040 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.).

118,040 (one hundred eighteen thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 227. Its proper divisors sum to 169,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CD18.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
40,811
Square (n²)
13,933,441,600
Cube (n³)
1,644,703,446,464,000
Divisor count
32
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
43,392
Sum of prime factors
251

Primality

Prime factorization: 2 3 × 5 × 13 × 227

Nearest primes: 118,037 (−3) · 118,043 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 227 · 260 · 454 · 520 · 908 · 1135 · 1816 · 2270 · 2951 · 4540 · 5902 · 9080 · 11804 · 14755 · 23608 · 29510 · 59020 (half) · 118040
Aliquot sum (sum of proper divisors): 169,240
Factor pairs (a × b = 118,040)
1 × 118040
2 × 59020
4 × 29510
5 × 23608
8 × 14755
10 × 11804
13 × 9080
20 × 5902
26 × 4540
40 × 2951
52 × 2270
65 × 1816
104 × 1135
130 × 908
227 × 520
260 × 454
First multiples
118,040 · 236,080 (double) · 354,120 · 472,160 · 590,200 · 708,240 · 826,280 · 944,320 · 1,062,360 · 1,180,400

Sums & aliquot sequence

As consecutive integers: 23,606 + 23,607 + 23,608 + 23,609 + 23,610 9,074 + 9,075 + … + 9,086 7,370 + 7,371 + … + 7,385 1,784 + 1,785 + … + 1,848
Aliquot sequence: 118,040 169,240 211,640 362,920 476,600 631,960 1,064,360 1,657,240 2,359,640 2,949,640 3,869,840 5,981,092 5,291,064 9,380,736 19,260,864 47,782,944 100,462,608 — unresolved within range

Continued fraction of √n

√118,040 = [343; (1, 1, 3, 10, 3, 1, 1, 686)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand forty
Ordinal
118040th
Binary
11100110100011000
Octal
346430
Hexadecimal
0x1CD18
Base64
Ac0Y
One's complement
4,294,849,255 (32-bit)
Scientific notation
1.1804 × 10⁵
As a duration
118,040 s = 1 day, 8 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 12222220212
quaternary (4) 130310120
quinary (5) 12234130
senary (6) 2310252
septenary (7) 1001066
nonary (9) 188825
undecimal (11) 8075a
duodecimal (12) 58388
tridecimal (13) 41960
tetradecimal (14) 31036
pentadecimal (15) 24e95

As an angle

118,040° = 327 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριημʹ
Mayan (base 20)
𝋮·𝋯·𝋢·𝋠
Chinese
一十一萬八千零四十
Chinese (financial)
壹拾壹萬捌仟零肆拾
In other modern scripts
Eastern Arabic ١١٨٠٤٠ Devanagari ११८०४० Bengali ১১৮০৪০ Tamil ௧௧௮௦௪௦ Thai ๑๑๘๐๔๐ Tibetan ༡༡༨༠༤༠ Khmer ១១៨០៤០ Lao ໑໑໘໐໔໐ Burmese ၁၁၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118040, here are decompositions:

  • 3 + 118037 = 118040
  • 7 + 118033 = 118040
  • 61 + 117979 = 118040
  • 67 + 117973 = 118040
  • 103 + 117937 = 118040
  • 151 + 117889 = 118040
  • 157 + 117883 = 118040
  • 163 + 117877 = 118040

Showing the first eight; more decompositions exist.

Unicode codepoint
𜴘
Block Octant-6
U+1CD18
Other symbol (So)

UTF-8 encoding: F0 9C B4 98 (4 bytes).

Hex color
#01CD18
RGB(1, 205, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.24.

Address
0.1.205.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.24

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 118,040 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.