117,320
117,320 is a composite number, even.
117,320 (one hundred seventeen thousand three hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 419. Its proper divisors sum to 185,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CA48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 23,711
- Square (n²)
- 13,763,982,400
- Cube (n³)
- 1,614,790,415,168,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 302,400
- φ(n) — Euler's totient
- 40,128
- Sum of prime factors
- 437
Primality
Prime factorization: 2 3 × 5 × 7 × 419
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,320 = [342; (1, 1, 11, 1, 21, 5, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 5, 21, 1, 11, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand three hundred twenty
- Ordinal
- 117320th
- Binary
- 11100101001001000
- Octal
- 345110
- Hexadecimal
- 0x1CA48
- Base64
- AcpI
- One's complement
- 4,294,849,975 (32-bit)
- Scientific notation
- 1.1732 × 10⁵
- As a duration
- 117,320 s = 1 day, 8 hours, 35 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριζτκʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋦·𝋠
- Chinese
- 一十一萬七千三百二十
- Chinese (financial)
- 壹拾壹萬柒仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117320, here are decompositions:
- 13 + 117307 = 117320
- 61 + 117259 = 117320
- 79 + 117241 = 117320
- 97 + 117223 = 117320
- 127 + 117193 = 117320
- 157 + 117163 = 117320
- 193 + 117127 = 117320
- 211 + 117109 = 117320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.72.
- Address
- 0.1.202.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.202.72
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 117,320 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 117320 first appears in π at position 869,464 of the decimal expansion (the 869,464ordinal-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.