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117,760

117,760 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.).

117,760 (one hundred seventeen thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 44 divisors, and factors as 2¹⁰ × 5 × 23. Its proper divisors sum to 177,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC00.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
67,711
Square (n²)
13,867,417,600
Cube (n³)
1,633,027,096,576,000
Divisor count
44
σ(n) — sum of divisors
294,768
φ(n) — Euler's totient
45,056
Sum of prime factors
48

Primality

Prime factorization: 2 10 × 5 × 23

Nearest primes: 117,757 (−3) · 117,763 (+3)

Divisors & multiples

All divisors (44)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 32 · 40 · 46 · 64 · 80 · 92 · 115 · 128 · 160 · 184 · 230 · 256 · 320 · 368 · 460 · 512 · 640 · 736 · 920 · 1024 · 1280 · 1472 · 1840 · 2560 · 2944 · 3680 · 5120 · 5888 · 7360 · 11776 · 14720 · 23552 · 29440 · 58880 (half) · 117760
Aliquot sum (sum of proper divisors): 177,008
Factor pairs (a × b = 117,760)
1 × 117760
2 × 58880
4 × 29440
5 × 23552
8 × 14720
10 × 11776
16 × 7360
20 × 5888
23 × 5120
32 × 3680
40 × 2944
46 × 2560
64 × 1840
80 × 1472
92 × 1280
115 × 1024
128 × 920
160 × 736
184 × 640
230 × 512
256 × 460
320 × 368
First multiples
117,760 · 235,520 (double) · 353,280 · 471,040 · 588,800 · 706,560 · 824,320 · 942,080 · 1,059,840 · 1,177,600

Sums & aliquot sequence

As consecutive integers: 23,550 + 23,551 + 23,552 + 23,553 + 23,554 5,109 + 5,110 + … + 5,131 967 + 968 + … + 1,081
Aliquot sequence: 117,760 177,008 218,800 307,828 244,304 229,066 121,178 60,592 73,824 120,216 180,384 293,376 492,288 819,960 1,640,280 3,280,920 7,087,080 — unresolved within range

Continued fraction of √n

√117,760 = [343; (6, 5, 1, 1, 45, 4, 1, 2, 1, 9, 1, 75, 2, 1, 5, 1, 1, 16, 5, 42, 1, 2, 3, 3, …)]

Representations

In words
one hundred seventeen thousand seven hundred sixty
Ordinal
117760th
Binary
11100110000000000
Octal
346000
Hexadecimal
0x1CC00
Base64
AcwA
One's complement
4,294,849,535 (32-bit)
Scientific notation
1.1776 × 10⁵
As a duration
117,760 s = 1 day, 8 hours, 42 minutes, 40 seconds
In other bases
ternary (3) 12222112111
quaternary (4) 130300000
quinary (5) 12232020
senary (6) 2305104
septenary (7) 1000216
nonary (9) 188474
undecimal (11) 80525
duodecimal (12) 58194
tridecimal (13) 417a6
tetradecimal (14) 30cb6
pentadecimal (15) 24d5a

As an angle

117,760° = 327 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζψξʹ
Mayan (base 20)
𝋮·𝋮·𝋨·𝋠
Chinese
一十一萬七千七百六十
Chinese (financial)
壹拾壹萬柒仟柒佰陸拾
In other modern scripts
Eastern Arabic ١١٧٧٦٠ Devanagari ११७७६० Bengali ১১৭৭৬০ Tamil ௧௧௭௭௬௦ Thai ๑๑๗๗๖๐ Tibetan ༡༡༧༧༦༠ Khmer ១១៧៧៦០ Lao ໑໑໗໗໖໐ Burmese ၁၁၇၇၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117760, here are decompositions:

  • 3 + 117757 = 117760
  • 29 + 117731 = 117760
  • 59 + 117701 = 117760
  • 89 + 117671 = 117760
  • 101 + 117659 = 117760
  • 197 + 117563 = 117760
  • 257 + 117503 = 117760
  • 263 + 117497 = 117760

Showing the first eight; more decompositions exist.

Unicode codepoint
𜰀
Up-Pointing Go-Kart
U+1CC00
Other symbol (So)

UTF-8 encoding: F0 9C B0 80 (4 bytes).

Hex color
#01CC00
RGB(1, 204, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.0.

Address
0.1.204.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.0

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 117,760 and was likely granted around 1871.

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

Related reading