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113,390

113,390 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.).

113,390 (one hundred thirteen thousand three hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 17 × 23 × 29. Its proper divisors sum to 119,890, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAEE.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
93,311
Recamán's sequence
a(54,671) = 113,390
Square (n²)
12,857,292,100
Cube (n³)
1,457,888,351,219,000
Divisor count
32
σ(n) — sum of divisors
233,280
φ(n) — Euler's totient
39,424
Sum of prime factors
76

Primality

Prime factorization: 2 × 5 × 17 × 23 × 29

Nearest primes: 113,383 (−7) · 113,417 (+27)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 17 · 23 · 29 · 34 · 46 · 58 · 85 · 115 · 145 · 170 · 230 · 290 · 391 · 493 · 667 · 782 · 986 · 1334 · 1955 · 2465 · 3335 · 3910 · 4930 · 6670 · 11339 · 22678 · 56695 (half) · 113390
Aliquot sum (sum of proper divisors): 119,890
Factor pairs (a × b = 113,390)
1 × 113390
2 × 56695
5 × 22678
10 × 11339
17 × 6670
23 × 4930
29 × 3910
34 × 3335
46 × 2465
58 × 1955
85 × 1334
115 × 986
145 × 782
170 × 667
230 × 493
290 × 391
First multiples
113,390 · 226,780 (double) · 340,170 · 453,560 · 566,950 · 680,340 · 793,730 · 907,120 · 1,020,510 · 1,133,900

Sums & aliquot sequence

As consecutive integers: 28,346 + 28,347 + 28,348 + 28,349 22,676 + 22,677 + 22,678 + 22,679 + 22,680 6,662 + 6,663 + … + 6,678 5,660 + 5,661 + … + 5,679
Aliquot sequence: 113,390 119,890 107,630 91,090 72,890 62,542 31,274 18,166 10,058 5,494 3,074 1,786 1,094 550 566 286 218 — unresolved within range

Continued fraction of √n

√113,390 = [336; (1, 2, 1, 3, 4, 3, 1, 18, 2, 10, 1, 12, 1, 4, 1, 12, 1, 10, 2, 18, 1, 3, 4, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand three hundred ninety
Ordinal
113390th
Binary
11011101011101110
Octal
335356
Hexadecimal
0x1BAEE
Base64
Abru
One's complement
4,294,853,905 (32-bit)
Scientific notation
1.1339 × 10⁵
As a duration
113,390 s = 1 day, 7 hours, 29 minutes, 50 seconds
In other bases
ternary (3) 12202112122
quaternary (4) 123223232
quinary (5) 12112030
senary (6) 2232542
septenary (7) 651404
nonary (9) 182478
undecimal (11) 78212
duodecimal (12) 55752
tridecimal (13) 3c7c4
tetradecimal (14) 2d474
pentadecimal (15) 238e5

As an angle

113,390° = 314 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγτϟʹ
Mayan (base 20)
𝋮·𝋣·𝋩·𝋪
Chinese
一十一萬三千三百九十
Chinese (financial)
壹拾壹萬參仟參佰玖拾
In other modern scripts
Eastern Arabic ١١٣٣٩٠ Devanagari ११३३९० Bengali ১১৩৩৯০ Tamil ௧௧௩௩௯௦ Thai ๑๑๓๓๙๐ Tibetan ༡༡༣༣༩༠ Khmer ១១៣៣៩០ Lao ໑໑໓໓໙໐ Burmese ၁၁၃၃၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113390, here are decompositions:

  • 7 + 113383 = 113390
  • 19 + 113371 = 113390
  • 31 + 113359 = 113390
  • 61 + 113329 = 113390
  • 103 + 113287 = 113390
  • 157 + 113233 = 113390
  • 163 + 113227 = 113390
  • 181 + 113209 = 113390

Showing the first eight; more decompositions exist.

Hex color
#01BAEE
RGB(1, 186, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.238.

Address
0.1.186.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.238

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 113,390 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 113390 first appears in π at position 187,878 of the decimal expansion (the 187,878ordinal-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.