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118,800

118,800 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.).

118,800 (one hundred eighteen thousand eight hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3³ × 5² × 11. Its proper divisors sum to 342,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D010.

Abundant Number Arithmetic Number Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable 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
8,811
Flips to (rotate 180°)
8,811
Recamán's sequence
a(242,496) = 118,800
Square (n²)
14,113,440,000
Cube (n³)
1,676,676,672,000,000
Divisor count
120
σ(n) — sum of divisors
461,280
φ(n) — Euler's totient
28,800
Sum of prime factors
38

Primality

Prime factorization: 2 4 × 3 3 × 5 2 × 11

Nearest primes: 118,799 (−1) · 118,801 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 25 · 27 · 30 · 33 · 36 · 40 · 44 · 45 · 48 · 50 · 54 · 55 · 60 · 66 · 72 · 75 · 80 · 88 · 90 · 99 · 100 · 108 · 110 · 120 · 132 · 135 · 144 · 150 · 165 · 176 · 180 · 198 · 200 · 216 · 220 · 225 · 240 · 264 · 270 · 275 · 297 · 300 · 330 · 360 · 396 · 400 · 432 · 440 · 450 · 495 · 528 · 540 · 550 · 594 · 600 · 660 · 675 · 720 · 792 · 825 · 880 · 900 · 990 · 1080 · 1100 · 1188 · 1200 · 1320 · 1350 · 1485 · 1584 · 1650 · 1800 · 1980 · 2160 · 2200 · 2376 · 2475 · 2640 · 2700 · 2970 · 3300 · 3600 · 3960 · 4400 · 4752 · 4950 · 5400 · 5940 · 6600 · 7425 · 7920 · 9900 · 10800 · 11880 · 13200 · 14850 · 19800 · 23760 · 29700 · 39600 · 59400 (half) · 118800
Aliquot sum (sum of proper divisors): 342,480
Factor pairs (a × b = 118,800)
1 × 118800
2 × 59400
3 × 39600
4 × 29700
5 × 23760
6 × 19800
8 × 14850
9 × 13200
10 × 11880
11 × 10800
12 × 9900
15 × 7920
16 × 7425
18 × 6600
20 × 5940
22 × 5400
24 × 4950
25 × 4752
27 × 4400
30 × 3960
33 × 3600
36 × 3300
40 × 2970
44 × 2700
45 × 2640
48 × 2475
50 × 2376
54 × 2200
55 × 2160
60 × 1980
66 × 1800
72 × 1650
75 × 1584
80 × 1485
88 × 1350
90 × 1320
99 × 1200
100 × 1188
108 × 1100
110 × 1080
120 × 990
132 × 900
135 × 880
144 × 825
150 × 792
165 × 720
176 × 675
180 × 660
198 × 600
200 × 594
216 × 550
220 × 540
225 × 528
240 × 495
264 × 450
270 × 440
275 × 432
297 × 400
300 × 396
330 × 360
First multiples
118,800 · 237,600 (double) · 356,400 · 475,200 · 594,000 · 712,800 · 831,600 · 950,400 · 1,069,200 · 1,188,000

Sums & aliquot sequence

As consecutive integers: 39,599 + 39,600 + 39,601 23,758 + 23,759 + 23,760 + 23,761 + 23,762 13,196 + 13,197 + … + 13,204 10,795 + 10,796 + … + 10,805
Aliquot sequence: 118,800 342,480 719,952 1,181,712 2,308,144 2,163,916 1,643,916 2,191,916 1,893,844 1,594,956 2,574,132 3,978,540 9,033,732 16,027,668 26,871,552 52,047,288 89,246,592 — unresolved within range

Continued fraction of √n

√118,800 = [344; (1, 2, 15, 2, 1, 688)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand eight hundred
Ordinal
118800th
Binary
11101000000010000
Octal
350020
Hexadecimal
0x1D010
Base64
AdAQ
One's complement
4,294,848,495 (32-bit)
Scientific notation
1.188 × 10⁵
As a duration
118,800 s = 1 day, 9 hours
In other bases
ternary (3) 20000222000
quaternary (4) 131000100
quinary (5) 12300200
senary (6) 2314000
septenary (7) 1003233
nonary (9) 200860
undecimal (11) 81290
duodecimal (12) 58900
tridecimal (13) 420c6
tetradecimal (14) 3141a
pentadecimal (15) 25300

As an angle

118,800° = 330 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριηωʹ
Mayan (base 20)
𝋮·𝋱·𝋠·𝋠
Chinese
一十一萬八千八百
Chinese (financial)
壹拾壹萬捌仟捌佰
In other modern scripts
Eastern Arabic ١١٨٨٠٠ Devanagari ११८८०० Bengali ১১৮৮০০ Tamil ௧௧௮௮௦௦ Thai ๑๑๘๘๐๐ Tibetan ༡༡༨༨༠༠ Khmer ១១៨៨០០ Lao ໑໑໘໘໐໐ Burmese ၁၁၈၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118800, here are decompositions:

  • 13 + 118787 = 118800
  • 43 + 118757 = 118800
  • 53 + 118747 = 118800
  • 61 + 118739 = 118800
  • 83 + 118717 = 118800
  • 109 + 118691 = 118800
  • 113 + 118687 = 118800
  • 127 + 118673 = 118800

Showing the first eight; more decompositions exist.

Unicode codepoint
𝀐
Byzantine Musical Symbol Kentimata
U+1D010
Other symbol (So)

UTF-8 encoding: F0 9D 80 90 (4 bytes).

Hex color
#01D010
RGB(1, 208, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.208.16.

Address
0.1.208.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.208.16

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 118,800 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 118800 first appears in π at position 998,394 of the decimal expansion (the 998,394ordinal-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°.