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113,670

113,670 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.).

113,670 (one hundred thirteen thousand six hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 5 × 421. Its proper divisors sum to 190,170, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC06.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
76,311
Recamán's sequence
a(56,131) = 113,670
Square (n²)
12,920,868,900
Cube (n³)
1,468,715,167,863,000
Divisor count
32
σ(n) — sum of divisors
303,840
φ(n) — Euler's totient
30,240
Sum of prime factors
437

Primality

Prime factorization: 2 × 3 3 × 5 × 421

Nearest primes: 113,657 (−13) · 113,683 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 27 · 30 · 45 · 54 · 90 · 135 · 270 · 421 · 842 · 1263 · 2105 · 2526 · 3789 · 4210 · 6315 · 7578 · 11367 · 12630 · 18945 · 22734 · 37890 · 56835 (half) · 113670
Aliquot sum (sum of proper divisors): 190,170
Factor pairs (a × b = 113,670)
1 × 113670
2 × 56835
3 × 37890
5 × 22734
6 × 18945
9 × 12630
10 × 11367
15 × 7578
18 × 6315
27 × 4210
30 × 3789
45 × 2526
54 × 2105
90 × 1263
135 × 842
270 × 421
First multiples
113,670 · 227,340 (double) · 341,010 · 454,680 · 568,350 · 682,020 · 795,690 · 909,360 · 1,023,030 · 1,136,700

Sums & aliquot sequence

As consecutive integers: 37,889 + 37,890 + 37,891 28,416 + 28,417 + 28,418 + 28,419 22,732 + 22,733 + 22,734 + 22,735 + 22,736 12,626 + 12,627 + … + 12,634
Aliquot sequence: 113,670 190,170 304,506 372,294 540,618 668,982 668,994 700,638 783,282 783,294 865,986 1,023,582 1,316,130 2,010,270 2,865,282 4,070,910 5,699,346 — unresolved within range

Continued fraction of √n

√113,670 = [337; (6, 1, 2, 13, 2, 2, 3, 6, 14, 1, 4, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 7, 74, …)]

Representations

In words
one hundred thirteen thousand six hundred seventy
Ordinal
113670th
Binary
11011110000000110
Octal
336006
Hexadecimal
0x1BC06
Base64
AbwG
One's complement
4,294,853,625 (32-bit)
Scientific notation
1.1367 × 10⁵
As a duration
113,670 s = 1 day, 7 hours, 34 minutes, 30 seconds
In other bases
ternary (3) 12202221000
quaternary (4) 123300012
quinary (5) 12114140
senary (6) 2234130
septenary (7) 652254
nonary (9) 182830
undecimal (11) 78447
duodecimal (12) 55946
tridecimal (13) 3c97b
tetradecimal (14) 2d5d4
pentadecimal (15) 23a30

As an angle

113,670° = 315 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγχοʹ
Mayan (base 20)
𝋮·𝋤·𝋣·𝋪
Chinese
一十一萬三千六百七十
Chinese (financial)
壹拾壹萬參仟陸佰柒拾
In other modern scripts
Eastern Arabic ١١٣٦٧٠ Devanagari ११३६७० Bengali ১১৩৬৭০ Tamil ௧௧௩௬௭௦ Thai ๑๑๓๖๗๐ Tibetan ༡༡༣༦༧༠ Khmer ១១៣៦៧០ Lao ໑໑໓໖໗໐ Burmese ၁၁၃၆၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113670, here are decompositions:

  • 13 + 113657 = 113670
  • 23 + 113647 = 113670
  • 47 + 113623 = 113670
  • 79 + 113591 = 113670
  • 103 + 113567 = 113670
  • 113 + 113557 = 113670
  • 131 + 113539 = 113670
  • 157 + 113513 = 113670

Showing the first eight; more decompositions exist.

Unicode codepoint
𛰆
Duployan Letter L
U+1BC06
Other letter (Lo)

UTF-8 encoding: F0 9B B0 86 (4 bytes).

Hex color
#01BC06
RGB(1, 188, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.6.

Address
0.1.188.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.6

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 113,670 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 113670 first appears in π at position 376,191 of the decimal expansion (the 376,191ordinal-suffix:st 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°.