115,072
115,072 is a composite number, even.
115,072 (one hundred fifteen thousand seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 29 × 31. Its proper divisors sum to 129,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C180.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 270,511
- Recamán's sequence
- a(71,551) = 115,072
- Square (n²)
- 13,241,565,184
- Cube (n³)
- 1,523,733,388,853,248
- Divisor count
- 32
- σ(n) — sum of divisors
- 244,800
- φ(n) — Euler's totient
- 53,760
- Sum of prime factors
- 74
Primality
Prime factorization: 2 7 × 29 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,072 = [339; (4, 2, 29, 18, 1, 4, 3, 4, 1, 4, 1, 3, 1, 7, 1, 1, 2, 1, 1, 19, 1, 41, 2, 4, …)]
Representations
- In words
- one hundred fifteen thousand seventy-two
- Ordinal
- 115072nd
- Binary
- 11100000110000000
- Octal
- 340600
- Hexadecimal
- 0x1C180
- Base64
- AcGA
- One's complement
- 4,294,852,223 (32-bit)
- Scientific notation
- 1.15072 × 10⁵
- As a duration
- 115,072 s = 1 day, 7 hours, 57 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριεοβʹ
- Mayan (base 20)
- 𝋮·𝋧·𝋭·𝋬
- Chinese
- 一十一萬五千零七十二
- Chinese (financial)
- 壹拾壹萬伍仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115072, here are decompositions:
- 5 + 115067 = 115072
- 11 + 115061 = 115072
- 53 + 115019 = 115072
- 59 + 115013 = 115072
- 71 + 115001 = 115072
- 131 + 114941 = 115072
- 239 + 114833 = 115072
- 263 + 114809 = 115072
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.128.
- Address
- 0.1.193.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.193.128
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 115,072 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 115072 first appears in π at position 331,400 of the decimal expansion (the 331,400ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.