113,760
113,760 is a composite number, even.
113,760 (one hundred thirteen thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 79. Its proper divisors sum to 279,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 67,311
- Recamán's sequence
- a(56,311) = 113,760
- Square (n²)
- 12,941,337,600
- Cube (n³)
- 1,472,206,565,376,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 100
Primality
Prime factorization: 2 5 × 3 2 × 5 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,760 = [337; (3, 1, 1, 7, 1, 3, 9, 4, 9, 3, 1, 7, 1, 1, 3, 674)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand seven hundred sixty
- Ordinal
- 113760th
- Binary
- 11011110001100000
- Octal
- 336140
- Hexadecimal
- 0x1BC60
- Base64
- Abxg
- One's complement
- 4,294,853,535 (32-bit)
- Scientific notation
- 1.1376 × 10⁵
- As a duration
- 113,760 s = 1 day, 7 hours, 36 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγψξʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋨·𝋠
- Chinese
- 一十一萬三千七百六十
- Chinese (financial)
- 壹拾壹萬參仟柒佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113760, here are decompositions:
- 11 + 113749 = 113760
- 29 + 113731 = 113760
- 37 + 113723 = 113760
- 41 + 113719 = 113760
- 43 + 113717 = 113760
- 103 + 113657 = 113760
- 113 + 113647 = 113760
- 137 + 113623 = 113760
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B1 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.96.
- Address
- 0.1.188.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.96
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 113,760 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 113760 first appears in π at position 370,042 of the decimal expansion (the 370,042ordinal-suffix:nd 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°.