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116,160

116,160 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.).

116,160 (one hundred sixteen thousand one hundred sixty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 5 × 11². Its proper divisors sum to 289,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C5C0.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
61,611
Flips to (rotate 180°)
91,911
Square (n²)
13,493,145,600
Cube (n³)
1,567,363,792,896,000
Divisor count
84
σ(n) — sum of divisors
405,384
φ(n) — Euler's totient
28,160
Sum of prime factors
42

Primality

Prime factorization: 2 6 × 3 × 5 × 11 2

Nearest primes: 116,159 (−1) · 116,167 (+7)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 30 · 32 · 33 · 40 · 44 · 48 · 55 · 60 · 64 · 66 · 80 · 88 · 96 · 110 · 120 · 121 · 132 · 160 · 165 · 176 · 192 · 220 · 240 · 242 · 264 · 320 · 330 · 352 · 363 · 440 · 480 · 484 · 528 · 605 · 660 · 704 · 726 · 880 · 960 · 968 · 1056 · 1210 · 1320 · 1452 · 1760 · 1815 · 1936 · 2112 · 2420 · 2640 · 2904 · 3520 · 3630 · 3872 · 4840 · 5280 · 5808 · 7260 · 7744 · 9680 · 10560 · 11616 · 14520 · 19360 · 23232 · 29040 · 38720 · 58080 (half) · 116160
Aliquot sum (sum of proper divisors): 289,224
Factor pairs (a × b = 116,160)
1 × 116160
2 × 58080
3 × 38720
4 × 29040
5 × 23232
6 × 19360
8 × 14520
10 × 11616
11 × 10560
12 × 9680
15 × 7744
16 × 7260
20 × 5808
22 × 5280
24 × 4840
30 × 3872
32 × 3630
33 × 3520
40 × 2904
44 × 2640
48 × 2420
55 × 2112
60 × 1936
64 × 1815
66 × 1760
80 × 1452
88 × 1320
96 × 1210
110 × 1056
120 × 968
121 × 960
132 × 880
160 × 726
165 × 704
176 × 660
192 × 605
220 × 528
240 × 484
242 × 480
264 × 440
320 × 363
330 × 352
First multiples
116,160 · 232,320 (double) · 348,480 · 464,640 · 580,800 · 696,960 · 813,120 · 929,280 · 1,045,440 · 1,161,600

Sums & aliquot sequence

As consecutive integers: 38,719 + 38,720 + 38,721 23,230 + 23,231 + 23,232 + 23,233 + 23,234 10,555 + 10,556 + … + 10,565 7,737 + 7,738 + … + 7,751
Aliquot sequence: 116,160 289,224 584,376 989,784 1,748,016 3,249,184 3,147,710 2,518,186 1,745,654 1,016,554 1,051,862 751,354 386,534 197,434 98,720 134,884 101,170 — unresolved within range

Continued fraction of √n

√116,160 = [340; (1, 4, 1, 1, 1, 2, 1, 4, 1, 9, 1, 4, 1, 2, 1, 1, 1, 4, 1, 680)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand one hundred sixty
Ordinal
116160th
Binary
11100010111000000
Octal
342700
Hexadecimal
0x1C5C0
Base64
AcXA
One's complement
4,294,851,135 (32-bit)
Scientific notation
1.1616 × 10⁵
As a duration
116,160 s = 1 day, 8 hours, 16 minutes
In other bases
ternary (3) 12220100020
quaternary (4) 130113000
quinary (5) 12204120
senary (6) 2253440
septenary (7) 662442
nonary (9) 186306
undecimal (11) 7a300
duodecimal (12) 57280
tridecimal (13) 40b45
tetradecimal (14) 30492
pentadecimal (15) 24640

As an angle

116,160° = 322 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριϛρξʹ
Mayan (base 20)
𝋮·𝋪·𝋨·𝋠
Chinese
一十一萬六千一百六十
Chinese (financial)
壹拾壹萬陸仟壹佰陸拾
In other modern scripts
Eastern Arabic ١١٦١٦٠ Devanagari ११६१६० Bengali ১১৬১৬০ Tamil ௧௧௬௧௬௦ Thai ๑๑๖๑๖๐ Tibetan ༡༡༦༡༦༠ Khmer ១១៦១៦០ Lao ໑໑໖໑໖໐ Burmese ၁၁၆၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116160, here are decompositions:

  • 19 + 116141 = 116160
  • 29 + 116131 = 116160
  • 47 + 116113 = 116160
  • 53 + 116107 = 116160
  • 59 + 116101 = 116160
  • 61 + 116099 = 116160
  • 71 + 116089 = 116160
  • 113 + 116047 = 116160

Showing the first eight; more decompositions exist.

Hex color
#01C5C0
RGB(1, 197, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.192.

Address
0.1.197.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.192

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 116,160 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 116160 first appears in π at position 89,756 of the decimal expansion (the 89,756ordinal-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

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