113,616
113,616 is a composite number, even.
113,616 (one hundred thirteen thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3³ × 263. Its proper divisors sum to 213,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BBD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 108
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 616,311
- Recamán's sequence
- a(55,139) = 113,616
- Square (n²)
- 12,908,595,456
- Cube (n³)
- 1,466,622,981,328,896
- Divisor count
- 40
- σ(n) — sum of divisors
- 327,360
- φ(n) — Euler's totient
- 37,728
- Sum of prime factors
- 280
Primality
Prime factorization: 2 4 × 3 3 × 263
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,616 = [337; (14, 2, 1, 12, 3, 2, 4, 1, 1, 3, 2, 3, 1, 1, 4, 2, 3, 12, 1, 2, 14, 674)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand six hundred sixteen
- Ordinal
- 113616th
- Binary
- 11011101111010000
- Octal
- 335720
- Hexadecimal
- 0x1BBD0
- Base64
- AbvQ
- One's complement
- 4,294,853,679 (32-bit)
- Scientific notation
- 1.13616 × 10⁵
- As a duration
- 113,616 s = 1 day, 7 hours, 33 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγχιϛʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋠·𝋰
- Chinese
- 一十一萬三千六百一十六
- Chinese (financial)
- 壹拾壹萬參仟陸佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113616, here are decompositions:
- 59 + 113557 = 113616
- 79 + 113537 = 113616
- 103 + 113513 = 113616
- 127 + 113489 = 113616
- 149 + 113467 = 113616
- 163 + 113453 = 113616
- 179 + 113437 = 113616
- 199 + 113417 = 113616
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.208.
- Address
- 0.1.187.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.208
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 113,616 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°.