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113,700

113,700 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.).

113,700 (one hundred thirteen thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 379. Its proper divisors sum to 216,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC24.

Abundant 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
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
7,311
Recamán's sequence
a(56,191) = 113,700
Square (n²)
12,927,690,000
Cube (n³)
1,469,878,353,000,000
Divisor count
36
σ(n) — sum of divisors
329,840
φ(n) — Euler's totient
30,240
Sum of prime factors
396

Primality

Prime factorization: 2 2 × 3 × 5 2 × 379

Nearest primes: 113,683 (−17) · 113,717 (+17)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 379 · 758 · 1137 · 1516 · 1895 · 2274 · 3790 · 4548 · 5685 · 7580 · 9475 · 11370 · 18950 · 22740 · 28425 · 37900 · 56850 (half) · 113700
Aliquot sum (sum of proper divisors): 216,140
Factor pairs (a × b = 113,700)
1 × 113700
2 × 56850
3 × 37900
4 × 28425
5 × 22740
6 × 18950
10 × 11370
12 × 9475
15 × 7580
20 × 5685
25 × 4548
30 × 3790
50 × 2274
60 × 1895
75 × 1516
100 × 1137
150 × 758
300 × 379
First multiples
113,700 · 227,400 (double) · 341,100 · 454,800 · 568,500 · 682,200 · 795,900 · 909,600 · 1,023,300 · 1,137,000

Sums & aliquot sequence

As consecutive integers: 37,899 + 37,900 + 37,901 22,738 + 22,739 + 22,740 + 22,741 + 22,742 14,209 + 14,210 + … + 14,216 7,573 + 7,574 + … + 7,587
Aliquot sequence: 113,700 216,140 246,532 261,500 310,708 237,392 236,164 223,484 167,620 219,200 324,106 162,056 148,984 155,936 179,728 177,392 166,336 — unresolved within range

Continued fraction of √n

√113,700 = [337; (5, 6, 1, 4, 1, 2, 2, 10, 8, 1, 8, 1, 1, 1, 1, 4, 5, 1, 1, 2, 11, 26, 1, 7, …)]

Representations

In words
one hundred thirteen thousand seven hundred
Ordinal
113700th
Binary
11011110000100100
Octal
336044
Hexadecimal
0x1BC24
Base64
Abwk
One's complement
4,294,853,595 (32-bit)
Scientific notation
1.137 × 10⁵
As a duration
113,700 s = 1 day, 7 hours, 35 minutes
In other bases
ternary (3) 12202222010
quaternary (4) 123300210
quinary (5) 12114300
senary (6) 2234220
septenary (7) 652326
nonary (9) 182863
undecimal (11) 78474
duodecimal (12) 55970
tridecimal (13) 3c9a2
tetradecimal (14) 2d616
pentadecimal (15) 23a50

As an angle

113,700° = 315 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριγψʹ
Mayan (base 20)
𝋮·𝋤·𝋥·𝋠
Chinese
一十一萬三千七百
Chinese (financial)
壹拾壹萬參仟柒佰
In other modern scripts
Eastern Arabic ١١٣٧٠٠ Devanagari ११३७०० Bengali ১১৩৭০০ Tamil ௧௧௩௭௦௦ Thai ๑๑๓๗๐๐ Tibetan ༡༡༣༧༠༠ Khmer ១១៣៧០០ Lao ໑໑໓໗໐໐ Burmese ၁၁၃၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113700, here are decompositions:

  • 17 + 113683 = 113700
  • 43 + 113657 = 113700
  • 53 + 113647 = 113700
  • 79 + 113621 = 113700
  • 109 + 113591 = 113700
  • 163 + 113537 = 113700
  • 199 + 113501 = 113700
  • 211 + 113489 = 113700

Showing the first eight; more decompositions exist.

Unicode codepoint
𛰤
Duployan Letter J With Dots Inside And Above
U+1BC24
Other letter (Lo)

UTF-8 encoding: F0 9B B0 A4 (4 bytes).

Hex color
#01BC24
RGB(1, 188, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.36.

Address
0.1.188.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.36

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 113,700 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 113700 first appears in π at position 178,989 of the decimal expansion (the 178,989ordinal-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

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