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110,808

110,808 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.).

110,808 (one hundred ten thousand eight hundred eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2³ × 3⁶ × 19. Its proper divisors sum to 217,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B0D8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
808,011
Flips to (rotate 180°)
808,011
Recamán's sequence
a(49,623) = 110,808
Square (n²)
12,278,412,864
Cube (n³)
1,360,546,372,634,112
Divisor count
56
σ(n) — sum of divisors
327,900
φ(n) — Euler's totient
34,992
Sum of prime factors
43

Primality

Prime factorization: 2 3 × 3 6 × 19

Nearest primes: 110,807 (−1) · 110,813 (+5)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 27 · 36 · 38 · 54 · 57 · 72 · 76 · 81 · 108 · 114 · 152 · 162 · 171 · 216 · 228 · 243 · 324 · 342 · 456 · 486 · 513 · 648 · 684 · 729 · 972 · 1026 · 1368 · 1458 · 1539 · 1944 · 2052 · 2916 · 3078 · 4104 · 4617 · 5832 · 6156 · 9234 · 12312 · 13851 · 18468 · 27702 · 36936 · 55404 (half) · 110808
Aliquot sum (sum of proper divisors): 217,092
Factor pairs (a × b = 110,808)
1 × 110808
2 × 55404
3 × 36936
4 × 27702
6 × 18468
8 × 13851
9 × 12312
12 × 9234
18 × 6156
19 × 5832
24 × 4617
27 × 4104
36 × 3078
38 × 2916
54 × 2052
57 × 1944
72 × 1539
76 × 1458
81 × 1368
108 × 1026
114 × 972
152 × 729
162 × 684
171 × 648
216 × 513
228 × 486
243 × 456
324 × 342
First multiples
110,808 · 221,616 (double) · 332,424 · 443,232 · 554,040 · 664,848 · 775,656 · 886,464 · 997,272 · 1,108,080

Sums & aliquot sequence

As a sum of two cubes: 6³ + 48³ = 27³ + 45³ — a taxicab number
As consecutive integers: 36,935 + 36,936 + 36,937 12,308 + 12,309 + … + 12,316 6,918 + 6,919 + … + 6,933 5,823 + 5,824 + … + 5,841
Aliquot sequence: 110,808 217,092 298,108 223,588 167,698 85,742 45,994 32,126 16,066 8,954 6,208 6,238 3,122 2,254 1,850 1,684 1,270 — unresolved within range

Continued fraction of √n

√110,808 = [332; (1, 7, 4, 1, 1, 7, 1, 1, 1, 73, 3, 7, 1, 7, 1, 7, 3, 73, 1, 1, 1, 7, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand eight hundred eight
Ordinal
110808th
Binary
11011000011011000
Octal
330330
Hexadecimal
0x1B0D8
Base64
AbDY
One's complement
4,294,856,487 (32-bit)
Scientific notation
1.10808 × 10⁵
As a duration
110,808 s = 1 day, 6 hours, 46 minutes, 48 seconds
In other bases
ternary (3) 12122000000
quaternary (4) 123003120
quinary (5) 12021213
senary (6) 2213000
septenary (7) 641025
nonary (9) 178000
undecimal (11) 76285
duodecimal (12) 54160
tridecimal (13) 3b589
tetradecimal (14) 2c54c
pentadecimal (15) 22c73

As an angle

110,808° = 307 × 360° + 288°
288° ≈ 5.027 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριωηʹ
Mayan (base 20)
𝋭·𝋱·𝋠·𝋨
Chinese
一十一萬零八百零八
Chinese (financial)
壹拾壹萬零捌佰零捌
In other modern scripts
Eastern Arabic ١١٠٨٠٨ Devanagari ११०८०८ Bengali ১১০৮০৮ Tamil ௧௧௦௮௦௮ Thai ๑๑๐๘๐๘ Tibetan ༡༡༠༨༠༨ Khmer ១១០៨០៨ Lao ໑໑໐໘໐໘ Burmese ၁၁၀၈၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110808, here are decompositions:

  • 31 + 110777 = 110808
  • 37 + 110771 = 110808
  • 59 + 110749 = 110808
  • 79 + 110729 = 110808
  • 97 + 110711 = 110808
  • 127 + 110681 = 110808
  • 157 + 110651 = 110808
  • 167 + 110641 = 110808

Showing the first eight; more decompositions exist.

Unicode codepoint
𛃘
Hentaigana Letter Mo-2
U+1B0D8
Other letter (Lo)

UTF-8 encoding: F0 9B 83 98 (4 bytes).

Hex color
#01B0D8
RGB(1, 176, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.176.216.

Address
0.1.176.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.176.216

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 110,808 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°.