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113,380

113,380 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.).

113,380 (one hundred thirteen thousand three hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,669. Its proper divisors sum to 124,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAE4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
83,311
Recamán's sequence
a(55,551) = 113,380
Square (n²)
12,855,024,400
Cube (n³)
1,457,502,666,472,000
Divisor count
12
σ(n) — sum of divisors
238,140
φ(n) — Euler's totient
45,344
Sum of prime factors
5,678

Primality

Prime factorization: 2 2 × 5 × 5669

Nearest primes: 113,371 (−9) · 113,381 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 5669 · 11338 · 22676 · 28345 · 56690 (half) · 113380
Aliquot sum (sum of proper divisors): 124,760
Factor pairs (a × b = 113,380)
1 × 113380
2 × 56690
4 × 28345
5 × 22676
10 × 11338
20 × 5669
First multiples
113,380 · 226,760 (double) · 340,140 · 453,520 · 566,900 · 680,280 · 793,660 · 907,040 · 1,020,420 · 1,133,800

Sums & aliquot sequence

As a sum of two squares: 22² + 336² = 184² + 282²
As consecutive integers: 22,674 + 22,675 + 22,676 + 22,677 + 22,678 14,169 + 14,170 + … + 14,176 2,815 + 2,816 + … + 2,854
Aliquot sequence: 113,380 124,760 156,040 206,840 258,640 364,088 329,272 297,128 303,052 231,188 187,552 181,754 105,286 55,418 36,352 37,304 32,656 — unresolved within range

Continued fraction of √n

√113,380 = [336; (1, 2, 1, 1, 3, 2, 1, 2, 1, 1, 1, 9, 7, 1, 10, 1, 1, 6, 6, 1, 6, 4, 2, 1, …)]

Representations

In words
one hundred thirteen thousand three hundred eighty
Ordinal
113380th
Binary
11011101011100100
Octal
335344
Hexadecimal
0x1BAE4
Base64
Abrk
One's complement
4,294,853,915 (32-bit)
Scientific notation
1.1338 × 10⁵
As a duration
113,380 s = 1 day, 7 hours, 29 minutes, 40 seconds
In other bases
ternary (3) 12202112021
quaternary (4) 123223210
quinary (5) 12112010
senary (6) 2232524
septenary (7) 651361
nonary (9) 182467
undecimal (11) 78203
duodecimal (12) 55744
tridecimal (13) 3c7b7
tetradecimal (14) 2d468
pentadecimal (15) 238da

As an angle

113,380° = 314 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγτπʹ
Mayan (base 20)
𝋮·𝋣·𝋩·𝋠
Chinese
一十一萬三千三百八十
Chinese (financial)
壹拾壹萬參仟參佰捌拾
In other modern scripts
Eastern Arabic ١١٣٣٨٠ Devanagari ११३३८० Bengali ১১৩৩৮০ Tamil ௧௧௩௩௮௦ Thai ๑๑๓๓๘๐ Tibetan ༡༡༣༣༨༠ Khmer ១១៣៣៨០ Lao ໑໑໓໓໘໐ Burmese ၁၁၃၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113380, here are decompositions:

  • 17 + 113363 = 113380
  • 23 + 113357 = 113380
  • 53 + 113327 = 113380
  • 101 + 113279 = 113380
  • 167 + 113213 = 113380
  • 191 + 113189 = 113380
  • 227 + 113153 = 113380
  • 233 + 113147 = 113380

Showing the first eight; more decompositions exist.

Hex color
#01BAE4
RGB(1, 186, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.228.

Address
0.1.186.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.228

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 113,380 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 113380 first appears in π at position 184,635 of the decimal expansion (the 184,635ordinal-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