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118,320

118,320 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.).

118,320 (one hundred eighteen thousand three hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 17 × 29. Its proper divisors sum to 283,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CE30.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
23,811
Square (n²)
13,999,622,400
Cube (n³)
1,656,435,322,368,000
Divisor count
80
σ(n) — sum of divisors
401,760
φ(n) — Euler's totient
28,672
Sum of prime factors
62

Primality

Prime factorization: 2 4 × 3 × 5 × 17 × 29

Nearest primes: 118,297 (−23) · 118,343 (+23)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 29 · 30 · 34 · 40 · 48 · 51 · 58 · 60 · 68 · 80 · 85 · 87 · 102 · 116 · 120 · 136 · 145 · 170 · 174 · 204 · 232 · 240 · 255 · 272 · 290 · 340 · 348 · 408 · 435 · 464 · 493 · 510 · 580 · 680 · 696 · 816 · 870 · 986 · 1020 · 1160 · 1360 · 1392 · 1479 · 1740 · 1972 · 2040 · 2320 · 2465 · 2958 · 3480 · 3944 · 4080 · 4930 · 5916 · 6960 · 7395 · 7888 · 9860 · 11832 · 14790 · 19720 · 23664 · 29580 · 39440 · 59160 (half) · 118320
Aliquot sum (sum of proper divisors): 283,440
Factor pairs (a × b = 118,320)
1 × 118320
2 × 59160
3 × 39440
4 × 29580
5 × 23664
6 × 19720
8 × 14790
10 × 11832
12 × 9860
15 × 7888
16 × 7395
17 × 6960
20 × 5916
24 × 4930
29 × 4080
30 × 3944
34 × 3480
40 × 2958
48 × 2465
51 × 2320
58 × 2040
60 × 1972
68 × 1740
80 × 1479
85 × 1392
87 × 1360
102 × 1160
116 × 1020
120 × 986
136 × 870
145 × 816
170 × 696
174 × 680
204 × 580
232 × 510
240 × 493
255 × 464
272 × 435
290 × 408
340 × 348
First multiples
118,320 · 236,640 (double) · 354,960 · 473,280 · 591,600 · 709,920 · 828,240 · 946,560 · 1,064,880 · 1,183,200

Sums & aliquot sequence

As consecutive integers: 39,439 + 39,440 + 39,441 23,662 + 23,663 + 23,664 + 23,665 + 23,666 7,881 + 7,882 + … + 7,895 6,952 + 6,953 + … + 6,968
Aliquot sequence: 118,320 283,440 595,968 1,009,272 1,744,008 3,331,272 6,345,528 12,005,832 18,143,448 27,215,232 56,506,368 103,296,912 167,935,728 265,898,360 513,930,760 807,606,200 1,072,013,080 — unresolved within range

Continued fraction of √n

√118,320 = [343; (1, 41, 1, 686)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand three hundred twenty
Ordinal
118320th
Binary
11100111000110000
Octal
347060
Hexadecimal
0x1CE30
Base64
Ac4w
One's complement
4,294,848,975 (32-bit)
Scientific notation
1.1832 × 10⁵
As a duration
118,320 s = 1 day, 8 hours, 52 minutes
In other bases
ternary (3) 20000022020
quaternary (4) 130320300
quinary (5) 12241240
senary (6) 2311440
septenary (7) 1001646
nonary (9) 200266
undecimal (11) 80994
duodecimal (12) 58580
tridecimal (13) 41b17
tetradecimal (14) 31196
pentadecimal (15) 250d0

As an angle

118,320° = 328 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριητκʹ
Mayan (base 20)
𝋮·𝋯·𝋰·𝋠
Chinese
一十一萬八千三百二十
Chinese (financial)
壹拾壹萬捌仟參佰貳拾
In other modern scripts
Eastern Arabic ١١٨٣٢٠ Devanagari ११८३२० Bengali ১১৮৩২০ Tamil ௧௧௮௩௨௦ Thai ๑๑๘๓๒๐ Tibetan ༡༡༨༣༢༠ Khmer ១១៨៣២០ Lao ໑໑໘໓໒໐ Burmese ၁၁၈၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118320, here are decompositions:

  • 23 + 118297 = 118320
  • 43 + 118277 = 118320
  • 47 + 118273 = 118320
  • 61 + 118259 = 118320
  • 67 + 118253 = 118320
  • 71 + 118249 = 118320
  • 73 + 118247 = 118320
  • 101 + 118219 = 118320

Showing the first eight; more decompositions exist.

Unicode codepoint
𜸰
Large Type Piece Lower Half Vertex Of M
U+1CE30
Other symbol (So)

UTF-8 encoding: F0 9C B8 B0 (4 bytes).

Hex color
#01CE30
RGB(1, 206, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.206.48.

Address
0.1.206.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.206.48

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 118,320 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 118320 first appears in π at position 351,884 of the decimal expansion (the 351,884ordinal-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°.