Live analysis

117,180

117,180 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.).

117,180 (one hundred seventeen thousand one hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 5 × 7 × 31. Its proper divisors sum to 312,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C9BC.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

117,168 117,169 117,170 117,171 117,172 117,173 117,174 117,175 117,176 117,177 117,178 117,179 117,180 117,181 117,182 117,183 117,184 117,185 117,186 117,187 117,188 117,189 117,190 117,191 117,192

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Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 81,711
Square (n²): 13,731,152,400
Cube (n³): 1,609,016,438,232,000
Divisor count: 96
σ(n) — sum of divisors: 430,080
φ(n) — Euler's totient: 25,920
Sum of prime factors: 56

Primality

Prime factorization: 2 ² × 3 ³ × 5 × 7 × 31

Nearest primes: 117,167 (−13) · 117,191 (+11)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 27 · 28 · 30 · 31 · 35 · 36 · 42 · 45 · 54 · 60 · 62 · 63 · 70 · 84 · 90 · 93 · 105 · 108 · 124 · 126 · 135 · 140 · 155 · 180 · 186 · 189 · 210 · 217 · 252 · 270 · 279 · 310 · 315 · 372 · 378 · 420 · 434 · 465 · 540 · 558 · 620 · 630 · 651 · 756 · 837 · 868 · 930 · 945 · 1085 · 1116 · 1260 · 1302 · 1395 · 1674 · 1860 · 1890 · 1953 · 2170 · 2604 · 2790 · 3255 · 3348 · 3780 · 3906 · 4185 · 4340 · 5580 · 5859 · 6510 · 7812 · 8370 · 9765 · 11718 · 13020 · 16740 · 19530 · 23436 · 29295 · 39060 · 58590 (half) · 117180

Aliquot sum (sum of proper divisors): 312,900

Factor pairs (a × b = 117,180)

1 × 117180

2 × 58590

3 × 39060

4 × 29295

5 × 23436

6 × 19530

7 × 16740

9 × 13020

10 × 11718

12 × 9765

14 × 8370

15 × 7812

18 × 6510

20 × 5859

21 × 5580

27 × 4340

28 × 4185

30 × 3906

31 × 3780

35 × 3348

36 × 3255

42 × 2790

45 × 2604

54 × 2170

60 × 1953

62 × 1890

63 × 1860

70 × 1674

84 × 1395

90 × 1302

93 × 1260

105 × 1116

108 × 1085

124 × 945

126 × 930

135 × 868

140 × 837

155 × 756

180 × 651

186 × 630

189 × 620

210 × 558

217 × 540

252 × 465

270 × 434

279 × 420

310 × 378

315 × 372

First multiples

117,180 · 234,360 (double) · 351,540 · 468,720 · 585,900 · 703,080 · 820,260 · 937,440 · 1,054,620 · 1,171,800

Sums & aliquot sequence

As consecutive integers: 39,059 + 39,060 + 39,061 23,434 + 23,435 + 23,436 + 23,437 + 23,438 16,737 + 16,738 + … + 16,743 14,644 + 14,645 + … + 14,651

Aliquot sequence: 117,180 → 312,900 → 728,700 → 1,687,812 → 2,892,540 → 6,590,724 → 11,558,652 → 20,105,988 → 33,510,204 → 73,261,188 → 190,915,452 → 409,964,100 → 1,050,025,788 → 2,080,616,132 → 2,080,616,188 → 2,080,616,244 → 3,625,147,596 — unresolved within range

Continued fraction of √n

√117,180 = [342; (3, 5, 1, 18, 5, 1, 2, 2, 1, 75, 2, 1, 2, 1, 1, 170, 1, 1, 2, 1, 2, 75, 1, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand one hundred eighty
Ordinal: 117180th
Binary: 11100100110111100
Octal: 344674
Hexadecimal: 0x1C9BC
Base64: Acm8
One's complement: 4,294,850,115 (32-bit)
Scientific notation: 1.1718 × 10⁵
As a duration: 117,180 s = 1 day, 8 hours, 33 minutes

In other bases

ternary (3) 12221202000

quaternary (4) 130212330

quinary (5) 12222210

senary (6) 2302300

septenary (7) 665430

nonary (9) 187660

undecimal (11) 80048

duodecimal (12) 57990

tridecimal (13) 4144b

tetradecimal (14) 309c0

pentadecimal (15) 24ac0

As an angle

117,180° = 325 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριζρπʹ
Mayan (base 20): 𝋮·𝋬·𝋳·𝋠
Chinese: 一十一萬七千一百八十
Chinese (financial): 壹拾壹萬柒仟壹佰捌拾

In other modern scripts

Eastern Arabic ١١٧١٨٠ Devanagari ११७१८० Bengali ১১৭১৮০ Tamil ௧௧௭௧௮௦ Thai ๑๑๗๑๘๐ Tibetan ༡༡༧༡༨༠ Khmer ១១៧១៨០ Lao ໑໑໗໑໘໐ Burmese ၁၁၇၁၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117180, here are decompositions:

13 + 117167 = 117180
17 + 117163 = 117180
47 + 117133 = 117180
53 + 117127 = 117180
61 + 117119 = 117180
71 + 117109 = 117180
79 + 117101 = 117180
109 + 117071 = 117180

Showing the first eight; more decompositions exist.

Hex color

#01C9BC

RGB(1, 201, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.188.

Address: 0.1.201.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.201.188

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 117,180 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 US117,180 on Google Patents ↗ Look up on USPTO ↗