110,064
110,064 is a composite number, even.
110,064 (one hundred ten thousand sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,293. Its proper divisors sum to 174,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 460,011
- Recamán's sequence
- a(249,168) = 110,064
- Square (n²)
- 12,114,084,096
- Cube (n³)
- 1,333,324,551,942,144
- Divisor count
- 20
- σ(n) — sum of divisors
- 284,456
- φ(n) — Euler's totient
- 36,672
- Sum of prime factors
- 2,304
Primality
Prime factorization: 2 4 × 3 × 2293
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,064 = [331; (1, 3, 6, 1, 2, 1, 3, 4, 3, 4, 5, 1, 2, 1, 13, 2, 1, 1, 1, 4, 1, 6, 55, 6, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand sixty-four
- Ordinal
- 110064th
- Binary
- 11010110111110000
- Octal
- 326760
- Hexadecimal
- 0x1ADF0
- Base64
- Aa3w
- One's complement
- 4,294,857,231 (32-bit)
- Scientific notation
- 1.10064 × 10⁵
- As a duration
- 110,064 s = 1 day, 6 hours, 34 minutes, 24 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριξδʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋣·𝋤
- Chinese
- 一十一萬零六十四
- Chinese (financial)
- 壹拾壹萬零陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110064, here are decompositions:
- 5 + 110059 = 110064
- 13 + 110051 = 110064
- 41 + 110023 = 110064
- 47 + 110017 = 110064
- 103 + 109961 = 110064
- 127 + 109937 = 110064
- 151 + 109913 = 110064
- 167 + 109897 = 110064
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.240.
- Address
- 0.1.173.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.173.240
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 110,064 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 110064 first appears in π at position 235,288 of the decimal expansion (the 235,288ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.