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110,160

110,160 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.).

110,160 (one hundred ten thousand one hundred sixty) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 5 × 17. Its proper divisors sum to 294,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE50.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
61,011
Flips to (rotate 180°)
91,011
Recamán's sequence
a(248,976) = 110,160
Square (n²)
12,135,225,600
Cube (n³)
1,336,816,452,096,000
Divisor count
100
σ(n) — sum of divisors
405,108
φ(n) — Euler's totient
27,648
Sum of prime factors
42

Primality

Prime factorization: 2 4 × 3 4 × 5 × 17

Nearest primes: 110,129 (−31) · 110,161 (+1)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 27 · 30 · 34 · 36 · 40 · 45 · 48 · 51 · 54 · 60 · 68 · 72 · 80 · 81 · 85 · 90 · 102 · 108 · 120 · 135 · 136 · 144 · 153 · 162 · 170 · 180 · 204 · 216 · 240 · 255 · 270 · 272 · 306 · 324 · 340 · 360 · 405 · 408 · 432 · 459 · 510 · 540 · 612 · 648 · 680 · 720 · 765 · 810 · 816 · 918 · 1020 · 1080 · 1224 · 1296 · 1360 · 1377 · 1530 · 1620 · 1836 · 2040 · 2160 · 2295 · 2448 · 2754 · 3060 · 3240 · 3672 · 4080 · 4590 · 5508 · 6120 · 6480 · 6885 · 7344 · 9180 · 11016 · 12240 · 13770 · 18360 · 22032 · 27540 · 36720 · 55080 (half) · 110160
Aliquot sum (sum of proper divisors): 294,948
Factor pairs (a × b = 110,160)
1 × 110160
2 × 55080
3 × 36720
4 × 27540
5 × 22032
6 × 18360
8 × 13770
9 × 12240
10 × 11016
12 × 9180
15 × 7344
16 × 6885
17 × 6480
18 × 6120
20 × 5508
24 × 4590
27 × 4080
30 × 3672
34 × 3240
36 × 3060
40 × 2754
45 × 2448
48 × 2295
51 × 2160
54 × 2040
60 × 1836
68 × 1620
72 × 1530
80 × 1377
81 × 1360
85 × 1296
90 × 1224
102 × 1080
108 × 1020
120 × 918
135 × 816
136 × 810
144 × 765
153 × 720
162 × 680
170 × 648
180 × 612
204 × 540
216 × 510
240 × 459
255 × 432
270 × 408
272 × 405
306 × 360
324 × 340
First multiples
110,160 · 220,320 (double) · 330,480 · 440,640 · 550,800 · 660,960 · 771,120 · 881,280 · 991,440 · 1,101,600

Sums & aliquot sequence

As a sum of two squares: 72² + 324² = 216² + 252²
As consecutive integers: 36,719 + 36,720 + 36,721 22,030 + 22,031 + 22,032 + 22,033 + 22,034 12,236 + 12,237 + … + 12,244 7,337 + 7,338 + … + 7,351
Aliquot sequence: 110,160 294,948 470,012 352,516 264,394 162,746 81,376 78,896 73,996 65,556 104,684 78,520 113,000 153,760 221,594 114,394 81,734 — unresolved within range

Continued fraction of √n

√110,160 = [331; (1, 9, 2, 1, 2, 9, 1, 662)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand one hundred sixty
Ordinal
110160th
Binary
11010111001010000
Octal
327120
Hexadecimal
0x1AE50
Base64
Aa5Q
One's complement
4,294,857,135 (32-bit)
Scientific notation
1.1016 × 10⁵
As a duration
110,160 s = 1 day, 6 hours, 36 minutes
In other bases
ternary (3) 12121010000
quaternary (4) 122321100
quinary (5) 12011120
senary (6) 2210000
septenary (7) 636111
nonary (9) 177100
undecimal (11) 75846
duodecimal (12) 53900
tridecimal (13) 3b1ab
tetradecimal (14) 2c208
pentadecimal (15) 22990

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριρξʹ
Mayan (base 20)
𝋭·𝋯·𝋨·𝋠
Chinese
一十一萬零一百六十
Chinese (financial)
壹拾壹萬零壹佰陸拾
In other modern scripts
Eastern Arabic ١١٠١٦٠ Devanagari ११०१६० Bengali ১১০১৬০ Tamil ௧௧௦௧௬௦ Thai ๑๑๐๑๖๐ Tibetan ༡༡༠༡༦༠ Khmer ១១០១៦០ Lao ໑໑໐໑໖໐ Burmese ၁၁၀၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110160, here are decompositions:

  • 31 + 110129 = 110160
  • 41 + 110119 = 110160
  • 97 + 110063 = 110160
  • 101 + 110059 = 110160
  • 109 + 110051 = 110160
  • 137 + 110023 = 110160
  • 173 + 109987 = 110160
  • 199 + 109961 = 110160

Showing the first eight; more decompositions exist.

Hex color
#01AE50
RGB(1, 174, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.80.

Address
0.1.174.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.80

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 110,160 and was likely granted around 1871.

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

Related reading

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