115,080
115,080 is a composite number, even.
115,080 (one hundred fifteen thousand eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 137. Its proper divisors sum to 282,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C188.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 80,511
- Recamán's sequence
- a(71,567) = 115,080
- Square (n²)
- 13,243,406,400
- Cube (n³)
- 1,524,051,208,512,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 397,440
- φ(n) — Euler's totient
- 26,112
- Sum of prime factors
- 158
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,080 = [339; (4, 3, 1, 3, 4, 678)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifteen thousand eighty
- Ordinal
- 115080th
- Binary
- 11100000110001000
- Octal
- 340610
- Hexadecimal
- 0x1C188
- Base64
- AcGI
- One's complement
- 4,294,852,215 (32-bit)
- Scientific notation
- 1.1508 × 10⁵
- As a duration
- 115,080 s = 1 day, 7 hours, 58 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριεπʹ
- Mayan (base 20)
- 𝋮·𝋧·𝋮·𝋠
- Chinese
- 一十一萬五千零八十
- Chinese (financial)
- 壹拾壹萬伍仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115080, here are decompositions:
- 13 + 115067 = 115080
- 19 + 115061 = 115080
- 23 + 115057 = 115080
- 59 + 115021 = 115080
- 61 + 115019 = 115080
- 67 + 115013 = 115080
- 79 + 115001 = 115080
- 83 + 114997 = 115080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.136.
- Address
- 0.1.193.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.193.136
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 115,080 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 115080 first appears in π at position 633,968 of the decimal expansion (the 633,968ordinal-suffix:th 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°.