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117,990

117,990 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.).

117,990 (one hundred seventeen thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3³ × 5 × 19 × 23. Its proper divisors sum to 227,610, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCE6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
99,711
Square (n²)
13,921,640,100
Cube (n³)
1,642,614,315,399,000
Divisor count
64
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
28,512
Sum of prime factors
58

Primality

Prime factorization: 2 × 3 3 × 5 × 19 × 23

Nearest primes: 117,989 (−1) · 117,991 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 19 · 23 · 27 · 30 · 38 · 45 · 46 · 54 · 57 · 69 · 90 · 95 · 114 · 115 · 135 · 138 · 171 · 190 · 207 · 230 · 270 · 285 · 342 · 345 · 414 · 437 · 513 · 570 · 621 · 690 · 855 · 874 · 1026 · 1035 · 1242 · 1311 · 1710 · 2070 · 2185 · 2565 · 2622 · 3105 · 3933 · 4370 · 5130 · 6210 · 6555 · 7866 · 11799 · 13110 · 19665 · 23598 · 39330 · 58995 (half) · 117990
Aliquot sum (sum of proper divisors): 227,610
Factor pairs (a × b = 117,990)
1 × 117990
2 × 58995
3 × 39330
5 × 23598
6 × 19665
9 × 13110
10 × 11799
15 × 7866
18 × 6555
19 × 6210
23 × 5130
27 × 4370
30 × 3933
38 × 3105
45 × 2622
46 × 2565
54 × 2185
57 × 2070
69 × 1710
90 × 1311
95 × 1242
114 × 1035
115 × 1026
135 × 874
138 × 855
171 × 690
190 × 621
207 × 570
230 × 513
270 × 437
285 × 414
342 × 345
First multiples
117,990 · 235,980 (double) · 353,970 · 471,960 · 589,950 · 707,940 · 825,930 · 943,920 · 1,061,910 · 1,179,900

Sums & aliquot sequence

As consecutive integers: 39,329 + 39,330 + 39,331 29,496 + 29,497 + 29,498 + 29,499 23,596 + 23,597 + 23,598 + 23,599 + 23,600 13,106 + 13,107 + … + 13,114
Aliquot sequence: 117,990 227,610 386,586 472,614 479,514 643,686 662,682 732,678 810,042 810,054 1,248,186 1,379,814 1,523,226 1,523,238 1,548,762 1,548,774 2,252,826 — unresolved within range

Continued fraction of √n

√117,990 = [343; (2, 75, 1, 4, 1, 75, 2, 686)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred ninety
Ordinal
117990th
Binary
11100110011100110
Octal
346346
Hexadecimal
0x1CCE6
Base64
Aczm
One's complement
4,294,849,305 (32-bit)
Scientific notation
1.1799 × 10⁵
As a duration
117,990 s = 1 day, 8 hours, 46 minutes, 30 seconds
In other bases
ternary (3) 12222212000
quaternary (4) 130303212
quinary (5) 12233430
senary (6) 2310130
septenary (7) 1000665
nonary (9) 188760
undecimal (11) 80714
duodecimal (12) 58346
tridecimal (13) 41922
tetradecimal (14) 30ddc
pentadecimal (15) 24e60

As an angle

117,990° = 327 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζϡϟʹ
Mayan (base 20)
𝋮·𝋮·𝋳·𝋪
Chinese
一十一萬七千九百九十
Chinese (financial)
壹拾壹萬柒仟玖佰玖拾
In other modern scripts
Eastern Arabic ١١٧٩٩٠ Devanagari ११७९९० Bengali ১১৭৯৯০ Tamil ௧௧௭௯௯௦ Thai ๑๑๗๙๙๐ Tibetan ༡༡༧༩༩༠ Khmer ១១៧៩៩០ Lao ໑໑໗໙໙໐ Burmese ၁၁၇၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117990, here are decompositions:

  • 11 + 117979 = 117990
  • 13 + 117977 = 117990
  • 17 + 117973 = 117990
  • 31 + 117959 = 117990
  • 53 + 117937 = 117990
  • 73 + 117917 = 117990
  • 79 + 117911 = 117990
  • 101 + 117889 = 117990

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳦
Outlined Latin Capital Letter Q
U+1CCE6
Other symbol (So)

UTF-8 encoding: F0 9C B3 A6 (4 bytes).

Hex color
#01CCE6
RGB(1, 204, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.230.

Address
0.1.204.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.230

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 117,990 and was likely granted around 1871.

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

Position in π

The digit sequence 117990 first appears in π at position 784,631 of the decimal expansion (the 784,631ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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