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117,640

117,640 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.).

117,640 (one hundred seventeen thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 17 × 173. Its proper divisors sum to 164,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CB88.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
46,711
Square (n²)
13,839,169,600
Cube (n³)
1,628,039,911,744,000
Divisor count
32
σ(n) — sum of divisors
281,880
φ(n) — Euler's totient
44,032
Sum of prime factors
201

Primality

Prime factorization: 2 3 × 5 × 17 × 173

Nearest primes: 117,619 (−21) · 117,643 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 173 · 340 · 346 · 680 · 692 · 865 · 1384 · 1730 · 2941 · 3460 · 5882 · 6920 · 11764 · 14705 · 23528 · 29410 · 58820 (half) · 117640
Aliquot sum (sum of proper divisors): 164,240
Factor pairs (a × b = 117,640)
1 × 117640
2 × 58820
4 × 29410
5 × 23528
8 × 14705
10 × 11764
17 × 6920
20 × 5882
34 × 3460
40 × 2941
68 × 1730
85 × 1384
136 × 865
170 × 692
173 × 680
340 × 346
First multiples
117,640 · 235,280 (double) · 352,920 · 470,560 · 588,200 · 705,840 · 823,480 · 941,120 · 1,058,760 · 1,176,400

Sums & aliquot sequence

As a sum of two squares: 26² + 342² = 78² + 334² = 138² + 314² = 226² + 258²
As consecutive integers: 23,526 + 23,527 + 23,528 + 23,529 + 23,530 7,345 + 7,346 + … + 7,360 6,912 + 6,913 + … + 6,928 1,431 + 1,432 + … + 1,510
Aliquot sequence: 117,640 164,240 217,804 185,900 290,632 286,628 219,724 168,300 441,036 673,896 1,052,664 1,694,856 2,542,344 4,936,056 7,693,704 14,609,016 25,141,344 — unresolved within range

Continued fraction of √n

√117,640 = [342; (1, 75, 4, 1, 1, 7, 1, 10, 1, 1, 4, 1, 1, 10, 1, 7, 1, 1, 4, 75, 1, 684)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand six hundred forty
Ordinal
117640th
Binary
11100101110001000
Octal
345610
Hexadecimal
0x1CB88
Base64
AcuI
One's complement
4,294,849,655 (32-bit)
Scientific notation
1.1764 × 10⁵
As a duration
117,640 s = 1 day, 8 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 12222101001
quaternary (4) 130232020
quinary (5) 12231030
senary (6) 2304344
septenary (7) 666655
nonary (9) 188331
undecimal (11) 80426
duodecimal (12) 580b4
tridecimal (13) 41713
tetradecimal (14) 30c2c
pentadecimal (15) 24cca

As an angle

117,640° = 326 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζχμʹ
Mayan (base 20)
𝋮·𝋮·𝋢·𝋠
Chinese
一十一萬七千六百四十
Chinese (financial)
壹拾壹萬柒仟陸佰肆拾
In other modern scripts
Eastern Arabic ١١٧٦٤٠ Devanagari ११७६४० Bengali ১১৭৬৪০ Tamil ௧௧௭௬௪௦ Thai ๑๑๗๖๔๐ Tibetan ༡༡༧༦༤༠ Khmer ១១៧៦៤០ Lao ໑໑໗໖໔໐ Burmese ၁၁၇၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117640, here are decompositions:

  • 23 + 117617 = 117640
  • 101 + 117539 = 117640
  • 137 + 117503 = 117640
  • 197 + 117443 = 117640
  • 227 + 117413 = 117640
  • 251 + 117389 = 117640
  • 269 + 117371 = 117640
  • 311 + 117329 = 117640

Showing the first eight; more decompositions exist.

Hex color
#01CB88
RGB(1, 203, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.136.

Address
0.1.203.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.136

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 117,640 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 117640 first appears in π at position 783,446 of the decimal expansion (the 783,446ordinal-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