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110,980

110,980 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.).

110,980 (one hundred ten thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 31 × 179. Its proper divisors sum to 130,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B184.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence 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
89,011
Flips to (rotate 180°)
86,011
Recamán's sequence
a(49,279) = 110,980
Square (n²)
12,316,560,400
Cube (n³)
1,366,891,873,192,000
Divisor count
24
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
42,720
Sum of prime factors
219

Primality

Prime factorization: 2 2 × 5 × 31 × 179

Nearest primes: 110,977 (−3) · 110,989 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 31 · 62 · 124 · 155 · 179 · 310 · 358 · 620 · 716 · 895 · 1790 · 3580 · 5549 · 11098 · 22196 · 27745 · 55490 (half) · 110980
Aliquot sum (sum of proper divisors): 130,940
Factor pairs (a × b = 110,980)
1 × 110980
2 × 55490
4 × 27745
5 × 22196
10 × 11098
20 × 5549
31 × 3580
62 × 1790
124 × 895
155 × 716
179 × 620
310 × 358
First multiples
110,980 · 221,960 (double) · 332,940 · 443,920 · 554,900 · 665,880 · 776,860 · 887,840 · 998,820 · 1,109,800

Sums & aliquot sequence

As consecutive integers: 22,194 + 22,195 + 22,196 + 22,197 + 22,198 13,869 + 13,870 + … + 13,876 3,565 + 3,566 + … + 3,595 2,755 + 2,756 + … + 2,794
Aliquot sequence: 110,980 130,940 144,076 110,724 147,660 287,796 407,724 560,964 747,980 839,620 923,624 981,496 883,304 813,916 632,172 857,428 906,572 — unresolved within range

Continued fraction of √n

√110,980 = [333; (7, 3, 8, 8, 1, 1, 1, 4, 1, 5, 1, 3, 2, 2, 1, 1, 7, 2, 1, 7, 1, 1, 5, 14, …)]

Representations

In words
one hundred ten thousand nine hundred eighty
Ordinal
110980th
Binary
11011000110000100
Octal
330604
Hexadecimal
0x1B184
Base64
AbGE
One's complement
4,294,856,315 (32-bit)
Scientific notation
1.1098 × 10⁵
As a duration
110,980 s = 1 day, 6 hours, 49 minutes, 40 seconds
In other bases
ternary (3) 12122020101
quaternary (4) 123012010
quinary (5) 12022410
senary (6) 2213444
septenary (7) 641362
nonary (9) 178211
undecimal (11) 76421
duodecimal (12) 54284
tridecimal (13) 3b68c
tetradecimal (14) 2c632
pentadecimal (15) 22d3a

As an angle

110,980° = 308 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριϡπʹ
Mayan (base 20)
𝋭·𝋱·𝋩·𝋠
Chinese
一十一萬零九百八十
Chinese (financial)
壹拾壹萬零玖佰捌拾
In other modern scripts
Eastern Arabic ١١٠٩٨٠ Devanagari ११०९८० Bengali ১১০৯৮০ Tamil ௧௧௦௯௮௦ Thai ๑๑๐๙๘๐ Tibetan ༡༡༠༩༨༠ Khmer ១១០៩៨០ Lao ໑໑໐໙໘໐ Burmese ၁၁၀၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110980, here are decompositions:

  • 3 + 110977 = 110980
  • 11 + 110969 = 110980
  • 29 + 110951 = 110980
  • 41 + 110939 = 110980
  • 47 + 110933 = 110980
  • 53 + 110927 = 110980
  • 59 + 110921 = 110980
  • 71 + 110909 = 110980

Showing the first eight; more decompositions exist.

Unicode codepoint
𛆄
Nushu Character-1B184
U+1B184
Other letter (Lo)

UTF-8 encoding: F0 9B 86 84 (4 bytes).

Hex color
#01B184
RGB(1, 177, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.132.

Address
0.1.177.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.132

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 110,980 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 110980 first appears in π at position 145,533 of the decimal expansion (the 145,533ordinal-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