115,016
115,016 is a composite number, even.
115,016 (one hundred fifteen thousand sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,307. Its proper divisors sum to 120,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C148.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 610,511
- Recamán's sequence
- a(71,439) = 115,016
- Square (n²)
- 13,228,680,256
- Cube (n³)
- 1,521,509,888,324,096
- Divisor count
- 16
- σ(n) — sum of divisors
- 235,440
- φ(n) — Euler's totient
- 52,240
- Sum of prime factors
- 1,324
Primality
Prime factorization: 2 3 × 11 × 1307
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,016 = [339; (7, 7, 4, 2, 1, 5, 3, 4, 1, 1, 1, 2, 1, 26, 2, 2, 6, 1, 2, 1, 4, 1, 1, 2, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifteen thousand sixteen
- Ordinal
- 115016th
- Binary
- 11100000101001000
- Octal
- 340510
- Hexadecimal
- 0x1C148
- Base64
- AcFI
- One's complement
- 4,294,852,279 (32-bit)
- Scientific notation
- 1.15016 × 10⁵
- As a duration
- 115,016 s = 1 day, 7 hours, 56 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριειϛʹ
- Mayan (base 20)
- 𝋮·𝋧·𝋪·𝋰
- Chinese
- 一十一萬五千零一十六
- Chinese (financial)
- 壹拾壹萬伍仟零壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115016, here are decompositions:
- 3 + 115013 = 115016
- 19 + 114997 = 115016
- 43 + 114973 = 115016
- 103 + 114913 = 115016
- 127 + 114889 = 115016
- 157 + 114859 = 115016
- 337 + 114679 = 115016
- 367 + 114649 = 115016
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.72.
- Address
- 0.1.193.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.193.72
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 115,016 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 115016 first appears in π at position 173,079 of the decimal expansion (the 173,079ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.