113,480
113,480 is a composite number, even.
113,480 (one hundred thirteen thousand four hundred eighty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,837. Its proper divisors sum to 141,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 84,311
- Recamán's sequence
- a(53,719) = 113,480
- Square (n²)
- 12,877,710,400
- Cube (n³)
- 1,461,362,576,192,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 255,420
- φ(n) — Euler's totient
- 45,376
- Sum of prime factors
- 2,848
Primality
Prime factorization: 2 3 × 5 × 2837
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,480 = [336; (1, 6, 1, 1, 2, 1, 167, 1, 2, 1, 1, 6, 1, 672)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand four hundred eighty
- Ordinal
- 113480th
- Binary
- 11011101101001000
- Octal
- 335510
- Hexadecimal
- 0x1BB48
- Base64
- AbtI
- One's complement
- 4,294,853,815 (32-bit)
- Scientific notation
- 1.1348 × 10⁵
- As a duration
- 113,480 s = 1 day, 7 hours, 31 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγυπʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋮·𝋠
- Chinese
- 一十一萬三千四百八十
- Chinese (financial)
- 壹拾壹萬參仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113480, here are decompositions:
- 13 + 113467 = 113480
- 43 + 113437 = 113480
- 97 + 113383 = 113480
- 109 + 113371 = 113480
- 139 + 113341 = 113480
- 151 + 113329 = 113480
- 193 + 113287 = 113480
- 271 + 113209 = 113480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.72.
- Address
- 0.1.187.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.72
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 113,480 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 113480 first appears in π at position 205,093 of the decimal expansion (the 205,093ordinal-suffix:rd 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.