Live analysis

116,112

116,112 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.).

116,112 (one hundred sixteen thousand one hundred twelve) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 41 × 59. Its proper divisors sum to 196,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C590.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Zuckerman Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

116,100 116,101 116,102 116,103 116,104 116,105 116,106 116,107 116,108 116,109 116,110 116,111 116,112 116,113 116,114 116,115 116,116 116,117 116,118 116,119 116,120 116,121 116,122 116,123 116,124

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 12
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 211,611
Square (n²): 13,481,996,544
Cube (n³): 1,565,421,582,716,928
Divisor count: 40
σ(n) — sum of divisors: 312,480
φ(n) — Euler's totient: 37,120
Sum of prime factors: 111

Primality

Prime factorization: 2 ⁴ × 3 × 41 × 59

Nearest primes: 116,107 (−5) · 116,113 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 41 · 48 · 59 · 82 · 118 · 123 · 164 · 177 · 236 · 246 · 328 · 354 · 472 · 492 · 656 · 708 · 944 · 984 · 1416 · 1968 · 2419 · 2832 · 4838 · 7257 · 9676 · 14514 · 19352 · 29028 · 38704 · 58056 (half) · 116112

Aliquot sum (sum of proper divisors): 196,368

Factor pairs (a × b = 116,112)

1 × 116112

2 × 58056

3 × 38704

4 × 29028

6 × 19352

8 × 14514

12 × 9676

16 × 7257

24 × 4838

41 × 2832

48 × 2419

59 × 1968

82 × 1416

118 × 984

123 × 944

164 × 708

177 × 656

236 × 492

246 × 472

328 × 354

First multiples

116,112 · 232,224 (double) · 348,336 · 464,448 · 580,560 · 696,672 · 812,784 · 928,896 · 1,045,008 · 1,161,120

Sums & aliquot sequence

As consecutive integers: 38,703 + 38,704 + 38,705 3,613 + 3,614 + … + 3,644 2,812 + 2,813 + … + 2,852 1,939 + 1,940 + … + 1,997

Aliquot sequence: 116,112 → 196,368 → 311,040 → 804,984 → 1,326,936 → 2,246,424 → 3,369,696 → 6,282,912 → 10,209,984 → 17,484,144 → 28,992,792 → 43,489,248 → 81,051,168 → 151,052,928 → 281,059,872 → 456,722,544 → 792,550,176 — unresolved within range

Continued fraction of √n

√116,112 = [340; (1, 3, 29, 2, 1, 1, 1, 2, 4, 1, 16, 1, 1, 1, 16, 1, 4, 2, 1, 1, 1, 2, 29, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand one hundred twelve
Ordinal: 116112th
Binary: 11100010110010000
Octal: 342620
Hexadecimal: 0x1C590
Base64: AcWQ
One's complement: 4,294,851,183 (32-bit)
Scientific notation: 1.16112 × 10⁵
As a duration: 116,112 s = 1 day, 8 hours, 15 minutes, 12 seconds

In other bases

ternary (3) 12220021110

quaternary (4) 130112100

quinary (5) 12203422

senary (6) 2253320

septenary (7) 662343

nonary (9) 186243

undecimal (11) 7a267

duodecimal (12) 57240

tridecimal (13) 40b09

tetradecimal (14) 3045a

pentadecimal (15) 2460c

As an angle

116,112° = 322 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian): ͵ριϛριβʹ
Mayan (base 20): 𝋮·𝋪·𝋥·𝋬
Chinese: 一十一萬六千一百一十二
Chinese (financial): 壹拾壹萬陸仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١١٦١١٢ Devanagari ११६११२ Bengali ১১৬১১২ Tamil ௧௧௬௧௧௨ Thai ๑๑๖๑๑๒ Tibetan ༡༡༦༡༡༢ Khmer ១១៦១១២ Lao ໑໑໖໑໑໒ Burmese ၁၁၆၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116112, here are decompositions:

5 + 116107 = 116112
11 + 116101 = 116112
13 + 116099 = 116112
23 + 116089 = 116112
71 + 116041 = 116112
103 + 116009 = 116112
131 + 115981 = 116112
149 + 115963 = 116112

Showing the first eight; more decompositions exist.

Hex color

#01C590

RGB(1, 197, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.144.

Address: 0.1.197.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.197.144

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 116,112 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 US116,112 on Google Patents ↗ Look up on USPTO ↗