Live analysis

117,120

117,120 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.).

117,120 (one hundred seventeen thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 61. Its proper divisors sum to 262,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C980.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

117,108 117,109 117,110 117,111 117,112 117,113 117,114 117,115 117,116 117,117 117,118 117,119 117,120 117,121 117,122 117,123 117,124 117,125 117,126 117,127 117,128 117,129 117,130 117,131 117,132

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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: 21,711
Square (n²): 13,717,094,400
Cube (n³): 1,606,546,096,128,000
Divisor count: 64
σ(n) — sum of divisors: 379,440
φ(n) — Euler's totient: 30,720
Sum of prime factors: 83

Primality

Prime factorization: 2 ⁷ × 3 × 5 × 61

Nearest primes: 117,119 (−1) · 117,127 (+7)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 61 · 64 · 80 · 96 · 120 · 122 · 128 · 160 · 183 · 192 · 240 · 244 · 305 · 320 · 366 · 384 · 480 · 488 · 610 · 640 · 732 · 915 · 960 · 976 · 1220 · 1464 · 1830 · 1920 · 1952 · 2440 · 2928 · 3660 · 3904 · 4880 · 5856 · 7320 · 7808 · 9760 · 11712 · 14640 · 19520 · 23424 · 29280 · 39040 · 58560 (half) · 117120

Aliquot sum (sum of proper divisors): 262,320

Factor pairs (a × b = 117,120)

1 × 117120

2 × 58560

3 × 39040

4 × 29280

5 × 23424

6 × 19520

8 × 14640

10 × 11712

12 × 9760

15 × 7808

16 × 7320

20 × 5856

24 × 4880

30 × 3904

32 × 3660

40 × 2928

48 × 2440

60 × 1952

61 × 1920

64 × 1830

80 × 1464

96 × 1220

120 × 976

122 × 960

128 × 915

160 × 732

183 × 640

192 × 610

240 × 488

244 × 480

305 × 384

320 × 366

First multiples

117,120 · 234,240 (double) · 351,360 · 468,480 · 585,600 · 702,720 · 819,840 · 936,960 · 1,054,080 · 1,171,200

Sums & aliquot sequence

As consecutive integers: 39,039 + 39,040 + 39,041 23,422 + 23,423 + 23,424 + 23,425 + 23,426 7,801 + 7,802 + … + 7,815 1,890 + 1,891 + … + 1,950

Aliquot sequence: 117,120 → 262,320 → 551,616 → 1,121,736 → 2,380,344 → 3,570,576 → 5,788,944 → 12,729,712 → 11,990,184 → 17,985,336 → 28,530,264 → 52,985,256 → 79,477,944 → 167,710,536 → 362,065,464 → 687,077,136 → 1,237,554,144 — unresolved within range

Continued fraction of √n

√117,120 = [342; (4, 2, 1, 1, 2, 3, 1, 1, 1, 42, 7, 5, 1, 1, 17, 171, 17, 1, 1, 5, 7, 42, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand one hundred twenty
Ordinal: 117120th
Binary: 11100100110000000
Octal: 344600
Hexadecimal: 0x1C980
Base64: AcmA
One's complement: 4,294,850,175 (32-bit)
Scientific notation: 1.1712 × 10⁵
As a duration: 117,120 s = 1 day, 8 hours, 32 minutes

In other bases

ternary (3) 12221122210

quaternary (4) 130212000

quinary (5) 12221440

senary (6) 2302120

septenary (7) 665313

nonary (9) 187583

undecimal (11) 7aaa3

duodecimal (12) 57940

tridecimal (13) 41403

tetradecimal (14) 3097a

pentadecimal (15) 24a80

As an angle

117,120° = 325 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ριζρκʹ
Mayan (base 20): 𝋮·𝋬·𝋰·𝋠
Chinese: 一十一萬七千一百二十
Chinese (financial): 壹拾壹萬柒仟壹佰貳拾

In other modern scripts

Eastern Arabic ١١٧١٢٠ Devanagari ११७१२० Bengali ১১৭১২০ Tamil ௧௧௭௧௨௦ Thai ๑๑๗๑๒๐ Tibetan ༡༡༧༡༢༠ Khmer ១១៧១២០ Lao ໑໑໗໑໒໐ Burmese ၁၁၇၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117120, here are decompositions:

11 + 117109 = 117120
19 + 117101 = 117120
67 + 117053 = 117120
79 + 117041 = 117120
83 + 117037 = 117120
97 + 117023 = 117120
103 + 117017 = 117120
127 + 116993 = 117120

Showing the first eight; more decompositions exist.

Hex color

#01C980

RGB(1, 201, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.128.

Address: 0.1.201.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.201.128

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 117,120 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 US117,120 on Google Patents ↗ Look up on USPTO ↗