113,832
113,832 is a composite number, even.
113,832 (one hundred thirteen thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 17 × 31. Its proper divisors sum to 231,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCA8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 144
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 238,311
- Recamán's sequence
- a(56,455) = 113,832
- Square (n²)
- 12,957,724,224
- Cube (n³)
- 1,475,003,663,866,368
- Divisor count
- 64
- σ(n) — sum of divisors
- 345,600
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 63
Primality
Prime factorization: 2 3 × 3 3 × 17 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,832 = [337; (2, 1, 1, 3, 2, 1, 1, 4, 1, 74, 6, 2, 9, 2, 6, 74, 1, 4, 1, 1, 2, 3, 1, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand eight hundred thirty-two
- Ordinal
- 113832nd
- Binary
- 11011110010101000
- Octal
- 336250
- Hexadecimal
- 0x1BCA8
- Base64
- Abyo
- One's complement
- 4,294,853,463 (32-bit)
- Scientific notation
- 1.13832 × 10⁵
- As a duration
- 113,832 s = 1 day, 7 hours, 37 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριγωλβʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋫·𝋬
- Chinese
- 一十一萬三千八百三十二
- Chinese (financial)
- 壹拾壹萬參仟捌佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113832, here are decompositions:
- 13 + 113819 = 113832
- 23 + 113809 = 113832
- 53 + 113779 = 113832
- 71 + 113761 = 113832
- 73 + 113759 = 113832
- 83 + 113749 = 113832
- 101 + 113731 = 113832
- 109 + 113723 = 113832
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.168.
- Address
- 0.1.188.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.168
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 113,832 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.