Live analysis

113,340

113,340 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.).

113,340 (one hundred thirteen thousand three hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,889. Its proper divisors sum to 204,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BABC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

113,328 113,329 113,330 113,331 113,332 113,333 113,334 113,335 113,336 113,337 113,338 113,339 113,340 113,341 113,342 113,343 113,344 113,345 113,346 113,347 113,348 113,349 113,350 113,351 113,352

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Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 43,311
Recamán's sequence: a(245,896) = 113,340
Square (n²): 12,845,955,600
Cube (n³): 1,455,960,607,704,000
Divisor count: 24
σ(n) — sum of divisors: 317,520
φ(n) — Euler's totient: 30,208
Sum of prime factors: 1,901

Primality

Prime factorization: 2 ² × 3 × 5 × 1889

Nearest primes: 113,329 (−11) · 113,341 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1889 · 3778 · 5667 · 7556 · 9445 · 11334 · 18890 · 22668 · 28335 · 37780 · 56670 (half) · 113340

Aliquot sum (sum of proper divisors): 204,180

Factor pairs (a × b = 113,340)

1 × 113340

2 × 56670

3 × 37780

4 × 28335

5 × 22668

6 × 18890

10 × 11334

12 × 9445

15 × 7556

20 × 5667

30 × 3778

60 × 1889

First multiples

113,340 · 226,680 (double) · 340,020 · 453,360 · 566,700 · 680,040 · 793,380 · 906,720 · 1,020,060 · 1,133,400

Sums & aliquot sequence

As consecutive integers: 37,779 + 37,780 + 37,781 22,666 + 22,667 + 22,668 + 22,669 + 22,670 14,164 + 14,165 + … + 14,171 7,549 + 7,550 + … + 7,563

Aliquot sequence: 113,340 → 204,180 → 388,524 → 518,060 → 569,908 → 526,292 → 502,708 → 385,872 → 611,088 → 1,025,712 → 2,020,968 → 3,452,682 → 3,691,158 → 3,817,002 → 5,064,054 → 5,096,586 → 6,847,350 — unresolved within range

Continued fraction of √n

√113,340 = [336; (1, 1, 1, 16, 6, 168, 6, 16, 1, 1, 1, 672)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand three hundred forty
Ordinal: 113340th
Binary: 11011101010111100
Octal: 335274
Hexadecimal: 0x1BABC
Base64: Abq8
One's complement: 4,294,853,955 (32-bit)
Scientific notation: 1.1334 × 10⁵
As a duration: 113,340 s = 1 day, 7 hours, 29 minutes

In other bases

ternary (3) 12202110210

quaternary (4) 123222330

quinary (5) 12111330

senary (6) 2232420

septenary (7) 651303

nonary (9) 182423

undecimal (11) 78177

duodecimal (12) 55710

tridecimal (13) 3c786

tetradecimal (14) 2d43a

pentadecimal (15) 238b0

As an angle

113,340° = 314 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγτμʹ
Mayan (base 20): 𝋮·𝋣·𝋧·𝋠
Chinese: 一十一萬三千三百四十
Chinese (financial): 壹拾壹萬參仟參佰肆拾

In other modern scripts

Eastern Arabic ١١٣٣٤٠ Devanagari ११३३४० Bengali ১১৩৩৪০ Tamil ௧௧௩௩௪௦ Thai ๑๑๓๓๔๐ Tibetan ༡༡༣༣༤༠ Khmer ១១៣៣៤០ Lao ໑໑໓໓໔໐ Burmese ၁၁၃၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113340, here are decompositions:

11 + 113329 = 113340
13 + 113327 = 113340
53 + 113287 = 113340
61 + 113279 = 113340
107 + 113233 = 113340
113 + 113227 = 113340
127 + 113213 = 113340
131 + 113209 = 113340

Showing the first eight; more decompositions exist.

Hex color

#01BABC

RGB(1, 186, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.188.

Address: 0.1.186.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.186.188

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 113,340 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US113,340 on Google Patents ↗ Look up on USPTO ↗