113,360
113,360 is a composite number, even.
113,360 (one hundred thirteen thousand three hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 109. Its proper divisors sum to 173,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 63,311
- Recamán's sequence
- a(55,519) = 113,360
- Square (n²)
- 12,850,489,600
- Cube (n³)
- 1,456,731,501,056,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 286,440
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 135
Primality
Prime factorization: 2 4 × 5 × 13 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,360 = [336; (1, 2, 4, 2, 10, 13, 1, 1, 1, 4, 1, 9, 1, 2, 3, 5, 1, 1, 41, 1, 1, 5, 3, 2, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand three hundred sixty
- Ordinal
- 113360th
- Binary
- 11011101011010000
- Octal
- 335320
- Hexadecimal
- 0x1BAD0
- Base64
- AbrQ
- One's complement
- 4,294,853,935 (32-bit)
- Scientific notation
- 1.1336 × 10⁵
- As a duration
- 113,360 s = 1 day, 7 hours, 29 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγτξʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋨·𝋠
- Chinese
- 一十一萬三千三百六十
- Chinese (financial)
- 壹拾壹萬參仟參佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113360, here are decompositions:
- 3 + 113357 = 113360
- 19 + 113341 = 113360
- 31 + 113329 = 113360
- 73 + 113287 = 113360
- 127 + 113233 = 113360
- 151 + 113209 = 113360
- 193 + 113167 = 113360
- 199 + 113161 = 113360
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.208.
- Address
- 0.1.186.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.186.208
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 113,360 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 113360 first appears in π at position 280,270 of the decimal expansion (the 280,270ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.