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110,988

110,988 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.).

110,988 (one hundred ten thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,083. Its proper divisors sum to 169,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B18C.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
889,011
Flips to (rotate 180°)
886,011
Recamán's sequence
a(49,263) = 110,988
Square (n²)
12,318,336,144
Cube (n³)
1,367,187,491,950,272
Divisor count
18
σ(n) — sum of divisors
280,644
φ(n) — Euler's totient
36,984
Sum of prime factors
3,093

Primality

Prime factorization: 2 2 × 3 2 × 3083

Nearest primes: 110,977 (−11) · 110,989 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3083 · 6166 · 9249 · 12332 · 18498 · 27747 · 36996 · 55494 (half) · 110988
Aliquot sum (sum of proper divisors): 169,656
Factor pairs (a × b = 110,988)
1 × 110988
2 × 55494
3 × 36996
4 × 27747
6 × 18498
9 × 12332
12 × 9249
18 × 6166
36 × 3083
First multiples
110,988 · 221,976 (double) · 332,964 · 443,952 · 554,940 · 665,928 · 776,916 · 887,904 · 998,892 · 1,109,880

Sums & aliquot sequence

As consecutive integers: 36,995 + 36,996 + 36,997 13,870 + 13,871 + … + 13,877 12,328 + 12,329 + … + 12,336 4,613 + 4,614 + … + 4,636
Aliquot sequence: 110,988 169,656 254,544 403,152 671,184 1,263,216 2,000,216 1,750,204 1,473,996 1,965,356 1,474,024 1,410,296 1,251,904 1,316,544 2,167,320 4,335,000 10,051,020 — unresolved within range

Continued fraction of √n

√110,988 = [333; (6, 1, 2, 1, 2, 5, 7, 17, 1, 6, 1, 1, 1, 2, 8, 1, 7, 7, 2, 4, 28, 1, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand nine hundred eighty-eight
Ordinal
110988th
Binary
11011000110001100
Octal
330614
Hexadecimal
0x1B18C
Base64
AbGM
One's complement
4,294,856,307 (32-bit)
Scientific notation
1.10988 × 10⁵
As a duration
110,988 s = 1 day, 6 hours, 49 minutes, 48 seconds
In other bases
ternary (3) 12122020200
quaternary (4) 123012030
quinary (5) 12022423
senary (6) 2213500
septenary (7) 641403
nonary (9) 178220
undecimal (11) 76429
duodecimal (12) 54290
tridecimal (13) 3b697
tetradecimal (14) 2c63a
pentadecimal (15) 22d43

As an angle

110,988° = 308 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϡπηʹ
Mayan (base 20)
𝋭·𝋱·𝋩·𝋨
Chinese
一十一萬零九百八十八
Chinese (financial)
壹拾壹萬零玖佰捌拾捌
In other modern scripts
Eastern Arabic ١١٠٩٨٨ Devanagari ११०९८८ Bengali ১১০৯৮৮ Tamil ௧௧௦௯௮௮ Thai ๑๑๐๙๘๘ Tibetan ༡༡༠༩༨༨ Khmer ១១០៩៨៨ Lao ໑໑໐໙໘໘ Burmese ၁၁၀၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110988, here are decompositions:

  • 11 + 110977 = 110988
  • 19 + 110969 = 110988
  • 37 + 110951 = 110988
  • 41 + 110947 = 110988
  • 61 + 110927 = 110988
  • 67 + 110921 = 110988
  • 71 + 110917 = 110988
  • 79 + 110909 = 110988

Showing the first eight; more decompositions exist.

Unicode codepoint
𛆌
Nushu Character-1B18C
U+1B18C
Other letter (Lo)

UTF-8 encoding: F0 9B 86 8C (4 bytes).

Hex color
#01B18C
RGB(1, 177, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.140.

Address
0.1.177.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.140

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 110,988 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 110988 first appears in π at position 40,323 of the decimal expansion (the 40,323ordinal-suffix:rd 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°.