110,080
110,080 is a composite number, even.
110,080 (one hundred ten thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5 × 43. Its proper divisors sum to 159,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 80,011
- Flips to (rotate 180°)
- 80,011
- Recamán's sequence
- a(249,136) = 110,080
- Square (n²)
- 12,117,606,400
- Cube (n³)
- 1,333,906,112,512,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 270,072
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 66
Primality
Prime factorization: 2 9 × 5 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,080 = [331; (1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 2, 1, 3, 1, 1, 9, 1, 4, 4, 5, 4, 15, …)]
Representations
- In words
- one hundred ten thousand eighty
- Ordinal
- 110080th
- Binary
- 11010111000000000
- Octal
- 327000
- Hexadecimal
- 0x1AE00
- Base64
- Aa4A
- One's complement
- 4,294,857,215 (32-bit)
- Scientific notation
- 1.1008 × 10⁵
- As a duration
- 110,080 s = 1 day, 6 hours, 34 minutes, 40 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριπʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋤·𝋠
- Chinese
- 一十一萬零八十
- Chinese (financial)
- 壹拾壹萬零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110080, here are decompositions:
- 11 + 110069 = 110080
- 17 + 110063 = 110080
- 29 + 110051 = 110080
- 41 + 110039 = 110080
- 137 + 109943 = 110080
- 167 + 109913 = 110080
- 197 + 109883 = 110080
- 233 + 109847 = 110080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.0.
- Address
- 0.1.174.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 110,080 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 110080 first appears in π at position 737,114 of the decimal expansion (the 737,114ordinal-suffix:th 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.