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113,264

113,264 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.).

113,264 (one hundred thirteen thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 7,079. Written other ways, in hexadecimal, 0x1BA70.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
462,311
Recamán's sequence
a(246,048) = 113,264
Square (n²)
12,828,733,696
Cube (n³)
1,453,033,693,343,744
Divisor count
10
σ(n) — sum of divisors
219,480
φ(n) — Euler's totient
56,624
Sum of prime factors
7,087

Primality

Prime factorization: 2 4 × 7079

Nearest primes: 113,233 (−31) · 113,279 (+15)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 7079 · 14158 · 28316 · 56632 (half) · 113264
Aliquot sum (sum of proper divisors): 106,216
Factor pairs (a × b = 113,264)
1 × 113264
2 × 56632
4 × 28316
8 × 14158
16 × 7079
First multiples
113,264 · 226,528 (double) · 339,792 · 453,056 · 566,320 · 679,584 · 792,848 · 906,112 · 1,019,376 · 1,132,640

Sums & aliquot sequence

As consecutive integers: 3,524 + 3,525 + … + 3,555
Aliquot sequence: 113,264 106,216 127,064 145,336 135,104 133,120 210,860 266,596 255,548 207,292 168,188 141,772 121,456 113,896 109,304 111,616 113,554 — unresolved within range

Continued fraction of √n

√113,264 = [336; (1, 1, 4, 1, 3, 1, 95, 2, 1, 2, 1, 32, 1, 12, 1, 3, 3, 1, 1, 2, 4, 2, 2, 1, …)]

Representations

In words
one hundred thirteen thousand two hundred sixty-four
Ordinal
113264th
Binary
11011101001110000
Octal
335160
Hexadecimal
0x1BA70
Base64
Abpw
One's complement
4,294,854,031 (32-bit)
Scientific notation
1.13264 × 10⁵
As a duration
113,264 s = 1 day, 7 hours, 27 minutes, 44 seconds
In other bases
ternary (3) 12202100222
quaternary (4) 123221300
quinary (5) 12111024
senary (6) 2232212
septenary (7) 651134
nonary (9) 182328
undecimal (11) 78108
duodecimal (12) 55668
tridecimal (13) 3c728
tetradecimal (14) 2d3c4
pentadecimal (15) 2385e

As an angle

113,264° = 314 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγσξδʹ
Mayan (base 20)
𝋮·𝋣·𝋣·𝋤
Chinese
一十一萬三千二百六十四
Chinese (financial)
壹拾壹萬參仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١١٣٢٦٤ Devanagari ११३२६४ Bengali ১১৩২৬৪ Tamil ௧௧௩௨௬௪ Thai ๑๑๓๒๖๔ Tibetan ༡༡༣༢༦༤ Khmer ១១៣២៦៤ Lao ໑໑໓໒໖໔ Burmese ၁၁၃၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113264, here are decompositions:

  • 31 + 113233 = 113264
  • 37 + 113227 = 113264
  • 97 + 113167 = 113264
  • 103 + 113161 = 113264
  • 181 + 113083 = 113264
  • 223 + 113041 = 113264
  • 241 + 113023 = 113264
  • 313 + 112951 = 113264

Showing the first eight; more decompositions exist.

Hex color
#01BA70
RGB(1, 186, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.112.

Address
0.1.186.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.112

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 113,264 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

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