Live analysis

113,140

113,140 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.).

113,140 (one hundred thirteen thousand one hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,657. Its proper divisors sum to 124,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9F4.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

113,128 113,129 113,130 113,131 113,132 113,133 113,134 113,135 113,136 113,137 113,138 113,139 113,140 113,141 113,142 113,143 113,144 113,145 113,146 113,147 113,148 113,149 113,150 113,151 113,152

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Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 41,311
Recamán's sequence: a(246,296) = 113,140
Square (n²): 12,800,659,600
Cube (n³): 1,448,266,627,144,000
Divisor count: 12
σ(n) — sum of divisors: 237,636
φ(n) — Euler's totient: 45,248
Sum of prime factors: 5,666

Primality

Prime factorization: 2 ² × 5 × 5657

Nearest primes: 113,131 (−9) · 113,143 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 5657 · 11314 · 22628 · 28285 · 56570 (half) · 113140

Aliquot sum (sum of proper divisors): 124,496

Factor pairs (a × b = 113,140)

1 × 113140

2 × 56570

4 × 28285

5 × 22628

10 × 11314

20 × 5657

First multiples

113,140 · 226,280 (double) · 339,420 · 452,560 · 565,700 · 678,840 · 791,980 · 905,120 · 1,018,260 · 1,131,400

Sums & aliquot sequence

As a sum of two squares: 54² + 332² = 156² + 298²

As consecutive integers: 22,626 + 22,627 + 22,628 + 22,629 + 22,630 14,139 + 14,140 + … + 14,146 2,809 + 2,810 + … + 2,848

Aliquot sequence: 113,140 → 124,496 → 125,488 → 160,208 → 196,912 → 197,904 → 436,976 → 437,968 → 438,960 → 989,520 → 2,819,760 → 6,227,280 → 16,121,178 → 20,360,358 → 23,753,790 → 39,590,370 → 69,823,638 — unresolved within range

Continued fraction of √n

√113,140 = [336; (2, 1, 3, 10, 1, 15, 2, 74, 3, 1, 4, 4, 3, 3, 1, 1, 18, 8, 3, 1, 44, 11, 168, 11, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand one hundred forty
Ordinal: 113140th
Binary: 11011100111110100
Octal: 334764
Hexadecimal: 0x1B9F4
Base64: Abn0
One's complement: 4,294,854,155 (32-bit)
Scientific notation: 1.1314 × 10⁵
As a duration: 113,140 s = 1 day, 7 hours, 25 minutes, 40 seconds

In other bases

ternary (3) 12202012101

quaternary (4) 123213310

quinary (5) 12110030

senary (6) 2231444

septenary (7) 650566

nonary (9) 182171

undecimal (11) 78005

duodecimal (12) 55584

tridecimal (13) 3c661

tetradecimal (14) 2d336

pentadecimal (15) 237ca

As an angle

113,140° = 314 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγρμʹ
Mayan (base 20): 𝋮·𝋢·𝋱·𝋠
Chinese: 一十一萬三千一百四十
Chinese (financial): 壹拾壹萬參仟壹佰肆拾

In other modern scripts

Eastern Arabic ١١٣١٤٠ Devanagari ११३१४० Bengali ১১৩১৪০ Tamil ௧௧௩௧௪௦ Thai ๑๑๓๑๔๐ Tibetan ༡༡༣༡༤༠ Khmer ១១៣១៤០ Lao ໑໑໓໑໔໐ Burmese ၁၁၃၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113140, here are decompositions:

17 + 113123 = 113140
23 + 113117 = 113140
29 + 113111 = 113140
47 + 113093 = 113140
59 + 113081 = 113140
89 + 113051 = 113140
101 + 113039 = 113140
113 + 113027 = 113140

Showing the first eight; more decompositions exist.

Hex color

#01B9F4

RGB(1, 185, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.244.

Address: 0.1.185.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.244

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 113,140 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 US113,140 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113140 first appears in π at position 50,825 of the decimal expansion (the 50,825ordinal-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.

Look up 113140 on Pi Search ↗