113,288
113,288 is a composite number, even.
113,288 (one hundred thirteen thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2³ × 7² × 17². Its proper divisors sum to 149,197, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA88.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 384
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 882,311
- Recamán's sequence
- a(246,000) = 113,288
- Square (n²)
- 12,834,170,944
- Cube (n³)
- 1,453,957,557,903,872
- Divisor count
- 36
- σ(n) — sum of divisors
- 262,485
- φ(n) — Euler's totient
- 45,696
- Sum of prime factors
- 54
Primality
Prime factorization: 2 3 × 7 2 × 17 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,288 = [336; (1, 1, 2, 1, 1, 13, 6, 2, 6, 13, 1, 1, 2, 1, 1, 672)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand two hundred eighty-eight
- Ordinal
- 113288th
- Binary
- 11011101010001000
- Octal
- 335210
- Hexadecimal
- 0x1BA88
- Base64
- AbqI
- One's complement
- 4,294,854,007 (32-bit)
- Scientific notation
- 1.13288 × 10⁵
- As a duration
- 113,288 s = 1 day, 7 hours, 28 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγσπηʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋤·𝋨
- Chinese
- 一十一萬三千二百八十八
- Chinese (financial)
- 壹拾壹萬參仟貳佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113288, here are decompositions:
- 61 + 113227 = 113288
- 79 + 113209 = 113288
- 127 + 113161 = 113288
- 139 + 113149 = 113288
- 157 + 113131 = 113288
- 199 + 113089 = 113288
- 271 + 113017 = 113288
- 277 + 113011 = 113288
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.136.
- Address
- 0.1.186.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.186.136
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 113,288 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.