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113,460

113,460 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.).

113,460 (one hundred thirteen thousand four hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 31 × 61. Its proper divisors sum to 219,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB34.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
64,311
Recamán's sequence
a(53,679) = 113,460
Square (n²)
12,873,171,600
Cube (n³)
1,460,590,049,736,000
Divisor count
48
σ(n) — sum of divisors
333,312
φ(n) — Euler's totient
28,800
Sum of prime factors
104

Primality

Prime factorization: 2 2 × 3 × 5 × 31 × 61

Nearest primes: 113,453 (−7) · 113,467 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 31 · 60 · 61 · 62 · 93 · 122 · 124 · 155 · 183 · 186 · 244 · 305 · 310 · 366 · 372 · 465 · 610 · 620 · 732 · 915 · 930 · 1220 · 1830 · 1860 · 1891 · 3660 · 3782 · 5673 · 7564 · 9455 · 11346 · 18910 · 22692 · 28365 · 37820 · 56730 (half) · 113460
Aliquot sum (sum of proper divisors): 219,852
Factor pairs (a × b = 113,460)
1 × 113460
2 × 56730
3 × 37820
4 × 28365
5 × 22692
6 × 18910
10 × 11346
12 × 9455
15 × 7564
20 × 5673
30 × 3782
31 × 3660
60 × 1891
61 × 1860
62 × 1830
93 × 1220
122 × 930
124 × 915
155 × 732
183 × 620
186 × 610
244 × 465
305 × 372
310 × 366
First multiples
113,460 · 226,920 (double) · 340,380 · 453,840 · 567,300 · 680,760 · 794,220 · 907,680 · 1,021,140 · 1,134,600

Sums & aliquot sequence

As consecutive integers: 37,819 + 37,820 + 37,821 22,690 + 22,691 + 22,692 + 22,693 + 22,694 14,179 + 14,180 + … + 14,186 7,557 + 7,558 + … + 7,571
Aliquot sequence: 113,460 219,852 356,724 580,940 679,732 509,806 324,458 162,232 185,528 212,152 203,288 177,892 189,020 239,044 211,560 453,720 986,280 — unresolved within range

Continued fraction of √n

√113,460 = [336; (1, 5, 5, 2, 44, 2, 5, 5, 1, 672)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand four hundred sixty
Ordinal
113460th
Binary
11011101100110100
Octal
335464
Hexadecimal
0x1BB34
Base64
Abs0
One's complement
4,294,853,835 (32-bit)
Scientific notation
1.1346 × 10⁵
As a duration
113,460 s = 1 day, 7 hours, 31 minutes
In other bases
ternary (3) 12202122020
quaternary (4) 123230310
quinary (5) 12112320
senary (6) 2233140
septenary (7) 651534
nonary (9) 182566
undecimal (11) 78276
duodecimal (12) 557b0
tridecimal (13) 3c849
tetradecimal (14) 2d4c4
pentadecimal (15) 23940

As an angle

113,460° = 315 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγυξʹ
Mayan (base 20)
𝋮·𝋣·𝋭·𝋠
Chinese
一十一萬三千四百六十
Chinese (financial)
壹拾壹萬參仟肆佰陸拾
In other modern scripts
Eastern Arabic ١١٣٤٦٠ Devanagari ११३४६० Bengali ১১৩৪৬০ Tamil ௧௧௩௪௬௦ Thai ๑๑๓๔๖๐ Tibetan ༡༡༣༤༦༠ Khmer ១១៣៤៦០ Lao ໑໑໓໔໖໐ Burmese ၁၁၃၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113460, here are decompositions:

  • 7 + 113453 = 113460
  • 23 + 113437 = 113460
  • 43 + 113417 = 113460
  • 79 + 113381 = 113460
  • 89 + 113371 = 113460
  • 97 + 113363 = 113460
  • 101 + 113359 = 113460
  • 103 + 113357 = 113460

Showing the first eight; more decompositions exist.

Hex color
#01BB34
RGB(1, 187, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.52.

Address
0.1.187.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.52

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 113,460 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.