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110,480

110,480 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.).

110,480 (one hundred ten thousand four hundred eighty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,381. Its proper divisors sum to 146,572, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF90.

Abundant Number Gapful Number Happy Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
84,011
Recamán's sequence
a(78,303) = 110,480
Square (n²)
12,205,830,400
Cube (n³)
1,348,500,142,592,000
Divisor count
20
σ(n) — sum of divisors
257,052
φ(n) — Euler's totient
44,160
Sum of prime factors
1,394

Primality

Prime factorization: 2 4 × 5 × 1381

Nearest primes: 110,479 (−1) · 110,491 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1381 · 2762 · 5524 · 6905 · 11048 · 13810 · 22096 · 27620 · 55240 (half) · 110480
Aliquot sum (sum of proper divisors): 146,572
Factor pairs (a × b = 110,480)
1 × 110480
2 × 55240
4 × 27620
5 × 22096
8 × 13810
10 × 11048
16 × 6905
20 × 5524
40 × 2762
80 × 1381
First multiples
110,480 · 220,960 (double) · 331,440 · 441,920 · 552,400 · 662,880 · 773,360 · 883,840 · 994,320 · 1,104,800

Sums & aliquot sequence

As a sum of two squares: 16² + 332² = 212² + 256²
As consecutive integers: 22,094 + 22,095 + 22,096 + 22,097 + 22,098 3,437 + 3,438 + … + 3,468 611 + 612 + … + 770
Aliquot sequence: 110,480 146,572 109,936 103,096 122,624 122,656 118,886 59,446 29,726 15,634 7,820 10,324 8,576 8,764 8,820 22,302 35,298 — unresolved within range

Continued fraction of √n

√110,480 = [332; (2, 1, 1, 2, 8, 33, 8, 2, 1, 1, 2, 664)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand four hundred eighty
Ordinal
110480th
Binary
11010111110010000
Octal
327620
Hexadecimal
0x1AF90
Base64
Aa+Q
One's complement
4,294,856,815 (32-bit)
Scientific notation
1.1048 × 10⁵
As a duration
110,480 s = 1 day, 6 hours, 41 minutes, 20 seconds
In other bases
ternary (3) 12121112212
quaternary (4) 122332100
quinary (5) 12013410
senary (6) 2211252
septenary (7) 640046
nonary (9) 177485
undecimal (11) 76007
duodecimal (12) 53b28
tridecimal (13) 3b396
tetradecimal (14) 2c396
pentadecimal (15) 22b05
Palindromic in base 7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριυπʹ
Mayan (base 20)
𝋭·𝋰·𝋤·𝋠
Chinese
一十一萬零四百八十
Chinese (financial)
壹拾壹萬零肆佰捌拾
In other modern scripts
Eastern Arabic ١١٠٤٨٠ Devanagari ११०४८० Bengali ১১০৪৮০ Tamil ௧௧௦௪௮௦ Thai ๑๑๐๔๘๐ Tibetan ༡༡༠༤༨༠ Khmer ១១០៤៨០ Lao ໑໑໐໔໘໐ Burmese ၁၁၀၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110480, here are decompositions:

  • 3 + 110477 = 110480
  • 43 + 110437 = 110480
  • 61 + 110419 = 110480
  • 157 + 110323 = 110480
  • 199 + 110281 = 110480
  • 211 + 110269 = 110480
  • 229 + 110251 = 110480
  • 397 + 110083 = 110480

Showing the first eight; more decompositions exist.

Hex color
#01AF90
RGB(1, 175, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.144.

Address
0.1.175.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.144

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 110,480 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.