117,360
117,360 is a composite number, even.
117,360 (one hundred seventeen thousand three hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 163. Its proper divisors sum to 279,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CA70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 63,711
- Square (n²)
- 13,773,369,600
- Cube (n³)
- 1,616,442,656,256,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 396,552
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 182
Primality
Prime factorization: 2 4 × 3 2 × 5 × 163
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,360 = [342; (1, 1, 2, 1, 2, 5, 3, 2, 2, 42, 2, 2, 3, 5, 2, 1, 2, 1, 1, 684)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand three hundred sixty
- Ordinal
- 117360th
- Binary
- 11100101001110000
- Octal
- 345160
- Hexadecimal
- 0x1CA70
- Base64
- Acpw
- One's complement
- 4,294,849,935 (32-bit)
- Scientific notation
- 1.1736 × 10⁵
- As a duration
- 117,360 s = 1 day, 8 hours, 36 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριζτξʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋨·𝋠
- Chinese
- 一十一萬七千三百六十
- Chinese (financial)
- 壹拾壹萬柒仟參佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117360, here are decompositions:
- 7 + 117353 = 117360
- 29 + 117331 = 117360
- 31 + 117329 = 117360
- 41 + 117319 = 117360
- 53 + 117307 = 117360
- 79 + 117281 = 117360
- 101 + 117259 = 117360
- 109 + 117251 = 117360
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.112.
- Address
- 0.1.202.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.202.112
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 117,360 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 117360 first appears in π at position 672,641 of the decimal expansion (the 672,641ordinal-suffix:st 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°.