113,880
113,880 is a composite number, even.
113,880 (one hundred thirteen thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 13 × 73. Its proper divisors sum to 259,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCD8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 88,311
- Recamán's sequence
- a(56,547) = 113,880
- Square (n²)
- 12,968,654,400
- Cube (n³)
- 1,476,870,363,072,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 372,960
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 100
Primality
Prime factorization: 2 3 × 3 × 5 × 13 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,880 = [337; (2, 5, 1, 12, 1, 12, 1, 5, 2, 674)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand eight hundred eighty
- Ordinal
- 113880th
- Binary
- 11011110011011000
- Octal
- 336330
- Hexadecimal
- 0x1BCD8
- Base64
- AbzY
- One's complement
- 4,294,853,415 (32-bit)
- Scientific notation
- 1.1388 × 10⁵
- As a duration
- 113,880 s = 1 day, 7 hours, 38 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγωπʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋮·𝋠
- Chinese
- 一十一萬三千八百八十
- Chinese (financial)
- 壹拾壹萬參仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113880, here are decompositions:
- 37 + 113843 = 113880
- 43 + 113837 = 113880
- 61 + 113819 = 113880
- 71 + 113809 = 113880
- 83 + 113797 = 113880
- 97 + 113783 = 113880
- 101 + 113779 = 113880
- 103 + 113777 = 113880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.216.
- Address
- 0.1.188.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.216
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 113,880 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°.