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117,920

117,920 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.).

117,920 (one hundred seventeen thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 67. Its proper divisors sum to 190,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCA0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
29,711
Square (n²)
13,905,126,400
Cube (n³)
1,639,692,505,088,000
Divisor count
48
σ(n) — sum of divisors
308,448
φ(n) — Euler's totient
42,240
Sum of prime factors
93

Primality

Prime factorization: 2 5 × 5 × 11 × 67

Nearest primes: 117,917 (−3) · 117,937 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 67 · 80 · 88 · 110 · 134 · 160 · 176 · 220 · 268 · 335 · 352 · 440 · 536 · 670 · 737 · 880 · 1072 · 1340 · 1474 · 1760 · 2144 · 2680 · 2948 · 3685 · 5360 · 5896 · 7370 · 10720 · 11792 · 14740 · 23584 · 29480 · 58960 (half) · 117920
Aliquot sum (sum of proper divisors): 190,528
Factor pairs (a × b = 117,920)
1 × 117920
2 × 58960
4 × 29480
5 × 23584
8 × 14740
10 × 11792
11 × 10720
16 × 7370
20 × 5896
22 × 5360
32 × 3685
40 × 2948
44 × 2680
55 × 2144
67 × 1760
80 × 1474
88 × 1340
110 × 1072
134 × 880
160 × 737
176 × 670
220 × 536
268 × 440
335 × 352
First multiples
117,920 · 235,840 (double) · 353,760 · 471,680 · 589,600 · 707,520 · 825,440 · 943,360 · 1,061,280 · 1,179,200

Sums & aliquot sequence

As consecutive integers: 23,582 + 23,583 + 23,584 + 23,585 + 23,586 10,715 + 10,716 + … + 10,725 2,117 + 2,118 + … + 2,171 1,811 + 1,812 + … + 1,874
Aliquot sequence: 117,920 190,528 218,412 333,776 341,776 337,868 253,408 245,552 238,048 244,280 325,960 435,440 577,144 562,256 527,146 263,576 241,864 — unresolved within range

Continued fraction of √n

√117,920 = [343; (2, 1, 1, 7, 8, 1, 1, 3, 1, 1, 6, 1, 2, 171, 2, 1, 6, 1, 1, 3, 1, 1, 8, 7, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred twenty
Ordinal
117920th
Binary
11100110010100000
Octal
346240
Hexadecimal
0x1CCA0
Base64
Acyg
One's complement
4,294,849,375 (32-bit)
Scientific notation
1.1792 × 10⁵
As a duration
117,920 s = 1 day, 8 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 12222202102
quaternary (4) 130302200
quinary (5) 12233140
senary (6) 2305532
septenary (7) 1000535
nonary (9) 188672
undecimal (11) 80660
duodecimal (12) 582a8
tridecimal (13) 4189a
tetradecimal (14) 30d8c
pentadecimal (15) 24e15

As an angle

117,920° = 327 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριζϡκʹ
Mayan (base 20)
𝋮·𝋮·𝋰·𝋠
Chinese
一十一萬七千九百二十
Chinese (financial)
壹拾壹萬柒仟玖佰貳拾
In other modern scripts
Eastern Arabic ١١٧٩٢٠ Devanagari ११७९२० Bengali ১১৭৯২০ Tamil ௧௧௭௯௨௦ Thai ๑๑๗๙๒๐ Tibetan ༡༡༧༩༢༠ Khmer ១១៧៩២០ Lao ໑໑໗໙໒໐ Burmese ၁၁၇၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117920, here are decompositions:

  • 3 + 117917 = 117920
  • 31 + 117889 = 117920
  • 37 + 117883 = 117920
  • 43 + 117877 = 117920
  • 79 + 117841 = 117920
  • 109 + 117811 = 117920
  • 157 + 117763 = 117920
  • 163 + 117757 = 117920

Showing the first eight; more decompositions exist.

Unicode codepoint
𜲠
Left-Pointing Rocket Booster
U+1CCA0
Other symbol (So)

UTF-8 encoding: F0 9C B2 A0 (4 bytes).

Hex color
#01CCA0
RGB(1, 204, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.160.

Address
0.1.204.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.160

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 117,920 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 117920 first appears in π at position 35,780 of the decimal expansion (the 35,780ordinal-suffix:th 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.