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118,400

118,400 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.).

118,400 (one hundred eighteen thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 5² × 37. Its proper divisors sum to 181,990, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CE80.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence 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
4,811
Recamán's sequence
a(28,468) = 118,400
Square (n²)
14,018,560,000
Cube (n³)
1,659,797,504,000,000
Divisor count
48
σ(n) — sum of divisors
300,390
φ(n) — Euler's totient
46,080
Sum of prime factors
61

Primality

Prime factorization: 2 7 × 5 2 × 37

Nearest primes: 118,399 (−1) · 118,409 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 37 · 40 · 50 · 64 · 74 · 80 · 100 · 128 · 148 · 160 · 185 · 200 · 296 · 320 · 370 · 400 · 592 · 640 · 740 · 800 · 925 · 1184 · 1480 · 1600 · 1850 · 2368 · 2960 · 3200 · 3700 · 4736 · 5920 · 7400 · 11840 · 14800 · 23680 · 29600 · 59200 (half) · 118400
Aliquot sum (sum of proper divisors): 181,990
Factor pairs (a × b = 118,400)
1 × 118400
2 × 59200
4 × 29600
5 × 23680
8 × 14800
10 × 11840
16 × 7400
20 × 5920
25 × 4736
32 × 3700
37 × 3200
40 × 2960
50 × 2368
64 × 1850
74 × 1600
80 × 1480
100 × 1184
128 × 925
148 × 800
160 × 740
185 × 640
200 × 592
296 × 400
320 × 370
First multiples
118,400 · 236,800 (double) · 355,200 · 473,600 · 592,000 · 710,400 · 828,800 · 947,200 · 1,065,600 · 1,184,000

Sums & aliquot sequence

As a sum of two squares: 8² + 344² = 104² + 328² = 200² + 280²
As consecutive integers: 23,678 + 23,679 + 23,680 + 23,681 + 23,682 4,724 + 4,725 + … + 4,748 3,182 + 3,183 + … + 3,218 548 + 549 + … + 732
Aliquot sequence: 118,400 181,990 145,610 116,506 71,738 35,872 39,728 43,600 62,110 49,706 27,514 13,760 19,768 22,712 22,648 22,352 25,264 — unresolved within range

Continued fraction of √n

√118,400 = [344; (10, 1, 3, 42, 1, 3, 10, 1, 1, 171, 1, 1, 10, 3, 1, 42, 3, 1, 10, 688)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand four hundred
Ordinal
118400th
Binary
11100111010000000
Octal
347200
Hexadecimal
0x1CE80
Base64
Ac6A
One's complement
4,294,848,895 (32-bit)
Scientific notation
1.184 × 10⁵
As a duration
118,400 s = 1 day, 8 hours, 53 minutes, 20 seconds
In other bases
ternary (3) 20000102012
quaternary (4) 130322000
quinary (5) 12242100
senary (6) 2312052
septenary (7) 1002122
nonary (9) 200365
undecimal (11) 80a57
duodecimal (12) 58628
tridecimal (13) 41b79
tetradecimal (14) 31212
pentadecimal (15) 25135

As an angle

118,400° = 328 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριηυʹ
Mayan (base 20)
𝋮·𝋰·𝋠·𝋠
Chinese
一十一萬八千四百
Chinese (financial)
壹拾壹萬捌仟肆佰
In other modern scripts
Eastern Arabic ١١٨٤٠٠ Devanagari ११८४०० Bengali ১১৮৪০০ Tamil ௧௧௮௪௦௦ Thai ๑๑๘๔๐๐ Tibetan ༡༡༨༤༠༠ Khmer ១១៨៤០០ Lao ໑໑໘໔໐໐ Burmese ၁၁၈၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118400, here are decompositions:

  • 13 + 118387 = 118400
  • 31 + 118369 = 118400
  • 103 + 118297 = 118400
  • 127 + 118273 = 118400
  • 151 + 118249 = 118400
  • 181 + 118219 = 118400
  • 211 + 118189 = 118400
  • 229 + 118171 = 118400

Showing the first eight; more decompositions exist.

Unicode codepoint
𜺀
Separated Block Sextant-56
U+1CE80
Other symbol (So)

UTF-8 encoding: F0 9C BA 80 (4 bytes).

Hex color
#01CE80
RGB(1, 206, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.206.128.

Address
0.1.206.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.206.128

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 118,400 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 118400 first appears in π at position 13,356 of the decimal expansion (the 13,356ordinal-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

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