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118,200

118,200 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.).

118,200 (one hundred eighteen thousand two hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 197. Its proper divisors sum to 250,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CDB8.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
2,811
Square (n²)
13,971,240,000
Cube (n³)
1,651,400,568,000,000
Divisor count
48
σ(n) — sum of divisors
368,280
φ(n) — Euler's totient
31,360
Sum of prime factors
216

Primality

Prime factorization: 2 3 × 3 × 5 2 × 197

Nearest primes: 118,189 (−11) · 118,211 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 150 · 197 · 200 · 300 · 394 · 591 · 600 · 788 · 985 · 1182 · 1576 · 1970 · 2364 · 2955 · 3940 · 4728 · 4925 · 5910 · 7880 · 9850 · 11820 · 14775 · 19700 · 23640 · 29550 · 39400 · 59100 (half) · 118200
Aliquot sum (sum of proper divisors): 250,080
Factor pairs (a × b = 118,200)
1 × 118200
2 × 59100
3 × 39400
4 × 29550
5 × 23640
6 × 19700
8 × 14775
10 × 11820
12 × 9850
15 × 7880
20 × 5910
24 × 4925
25 × 4728
30 × 3940
40 × 2955
50 × 2364
60 × 1970
75 × 1576
100 × 1182
120 × 985
150 × 788
197 × 600
200 × 591
300 × 394
First multiples
118,200 · 236,400 (double) · 354,600 · 472,800 · 591,000 · 709,200 · 827,400 · 945,600 · 1,063,800 · 1,182,000

Sums & aliquot sequence

As consecutive integers: 39,399 + 39,400 + 39,401 23,638 + 23,639 + 23,640 + 23,641 + 23,642 7,873 + 7,874 + … + 7,887 7,380 + 7,381 + … + 7,395
Aliquot sequence: 118,200 250,080 539,184 889,296 1,443,888 2,721,520 3,606,200 6,028,600 8,334,320 11,043,160 13,804,040 17,365,840 25,766,444 23,424,124 17,650,140 31,770,420 67,973,196 — unresolved within range

Continued fraction of √n

√118,200 = [343; (1, 4, 17, 2, 3, 8, 1, 3, 5, 1, 2, 27, 6, 1, 1, 2, 1, 4, 1, 27, 1, 4, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand two hundred
Ordinal
118200th
Binary
11100110110111000
Octal
346670
Hexadecimal
0x1CDB8
Base64
Ac24
One's complement
4,294,849,095 (32-bit)
Scientific notation
1.182 × 10⁵
As a duration
118,200 s = 1 day, 8 hours, 50 minutes
In other bases
ternary (3) 20000010210
quaternary (4) 130312320
quinary (5) 12240300
senary (6) 2311120
septenary (7) 1001415
nonary (9) 200123
undecimal (11) 80895
duodecimal (12) 584a0
tridecimal (13) 41a54
tetradecimal (14) 3110c
pentadecimal (15) 25050

As an angle

118,200° = 328 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ριησʹ
Mayan (base 20)
𝋮·𝋯·𝋪·𝋠
Chinese
一十一萬八千二百
Chinese (financial)
壹拾壹萬捌仟貳佰
In other modern scripts
Eastern Arabic ١١٨٢٠٠ Devanagari ११८२०० Bengali ১১৮২০০ Tamil ௧௧௮௨௦௦ Thai ๑๑๘๒๐๐ Tibetan ༡༡༨༢༠༠ Khmer ១១៨២០០ Lao ໑໑໘໒໐໐ Burmese ၁၁၈၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118200, here are decompositions:

  • 11 + 118189 = 118200
  • 29 + 118171 = 118200
  • 31 + 118169 = 118200
  • 37 + 118163 = 118200
  • 53 + 118147 = 118200
  • 73 + 118127 = 118200
  • 107 + 118093 = 118200
  • 139 + 118061 = 118200

Showing the first eight; more decompositions exist.

Unicode codepoint
𜶸
Block Octant-13478
U+1CDB8
Other symbol (So)

UTF-8 encoding: F0 9C B6 B8 (4 bytes).

Hex color
#01CDB8
RGB(1, 205, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.184.

Address
0.1.205.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.184

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 118,200 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°.