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117,960

117,960 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.).

117,960 (one hundred seventeen thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 983. Its proper divisors sum to 236,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCC8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
69,711
Square (n²)
13,914,561,600
Cube (n³)
1,641,361,686,336,000
Divisor count
32
σ(n) — sum of divisors
354,240
φ(n) — Euler's totient
31,424
Sum of prime factors
997

Primality

Prime factorization: 2 3 × 3 × 5 × 983

Nearest primes: 117,959 (−1) · 117,973 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 983 · 1966 · 2949 · 3932 · 4915 · 5898 · 7864 · 9830 · 11796 · 14745 · 19660 · 23592 · 29490 · 39320 · 58980 (half) · 117960
Aliquot sum (sum of proper divisors): 236,280
Factor pairs (a × b = 117,960)
1 × 117960
2 × 58980
3 × 39320
4 × 29490
5 × 23592
6 × 19660
8 × 14745
10 × 11796
12 × 9830
15 × 7864
20 × 5898
24 × 4915
30 × 3932
40 × 2949
60 × 1966
120 × 983
First multiples
117,960 · 235,920 (double) · 353,880 · 471,840 · 589,800 · 707,760 · 825,720 · 943,680 · 1,061,640 · 1,179,600

Sums & aliquot sequence

As consecutive integers: 39,319 + 39,320 + 39,321 23,590 + 23,591 + 23,592 + 23,593 + 23,594 7,857 + 7,858 + … + 7,871 7,365 + 7,366 + … + 7,380
Aliquot sequence: 117,960 236,280 541,320 1,212,600 2,715,720 6,926,520 14,029,800 30,238,200 72,913,680 244,637,424 440,007,992 404,194,048 402,615,676 308,734,964 251,098,156 198,543,036 279,490,884 — unresolved within range

Continued fraction of √n

√117,960 = [343; (2, 4, 1, 4, 1, 2, 1, 1, 2, 3, 2, 1, 8, 1, 44, 1, 8, 1, 2, 3, 2, 1, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred sixty
Ordinal
117960th
Binary
11100110011001000
Octal
346310
Hexadecimal
0x1CCC8
Base64
AczI
One's complement
4,294,849,335 (32-bit)
Scientific notation
1.1796 × 10⁵
As a duration
117,960 s = 1 day, 8 hours, 46 minutes
In other bases
ternary (3) 12222210220
quaternary (4) 130303020
quinary (5) 12233320
senary (6) 2310040
septenary (7) 1000623
nonary (9) 188726
undecimal (11) 80697
duodecimal (12) 58320
tridecimal (13) 418cb
tetradecimal (14) 30dba
pentadecimal (15) 24e40

As an angle

117,960° = 327 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζϡξʹ
Mayan (base 20)
𝋮·𝋮·𝋲·𝋠
Chinese
一十一萬七千九百六十
Chinese (financial)
壹拾壹萬柒仟玖佰陸拾
In other modern scripts
Eastern Arabic ١١٧٩٦٠ Devanagari ११७९६० Bengali ১১৭৯৬০ Tamil ௧௧௭௯௬௦ Thai ๑๑๗๙๖๐ Tibetan ༡༡༧༩༦༠ Khmer ១១៧៩៦០ Lao ໑໑໗໙໖໐ Burmese ၁၁၇၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117960, here are decompositions:

  • 23 + 117937 = 117960
  • 43 + 117917 = 117960
  • 61 + 117899 = 117960
  • 71 + 117889 = 117960
  • 79 + 117881 = 117960
  • 83 + 117877 = 117960
  • 109 + 117851 = 117960
  • 127 + 117833 = 117960

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳈
Lower Left Quadrant Chess Bishop
U+1CCC8
Other symbol (So)

UTF-8 encoding: F0 9C B3 88 (4 bytes).

Hex color
#01CCC8
RGB(1, 204, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.200.

Address
0.1.204.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.200

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 117,960 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.