108,320
108,320 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 23,801
- Recamán's sequence
- a(250,792) = 108,320
- Square (n²)
- 11,733,222,400
- Cube (n³)
- 1,270,942,650,368,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 256,284
- φ(n) — Euler's totient
- 43,264
- Sum of prime factors
- 692
Primality
Prime factorization: 2 5 × 5 × 677
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√108,320 = [329; (8, 3, 40, 1, 4, 1, 1, 3, 1, 163, 1, 3, 1, 1, 4, 1, 40, 3, 8, 658)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eight thousand three hundred twenty
- Ordinal
- 108320th
- Binary
- 11010011100100000
- Octal
- 323440
- Hexadecimal
- 0x1A720
- Base64
- Aacg
- One's complement
- 4,294,858,975 (32-bit)
- Scientific notation
- 1.0832 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρητκʹ
- Mayan (base 20)
- 𝋭·𝋪·𝋰·𝋠
- Chinese
- 一十萬八千三百二十
- Chinese (financial)
- 壹拾萬捌仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108320, here are decompositions:
- 19 + 108301 = 108320
- 31 + 108289 = 108320
- 73 + 108247 = 108320
- 97 + 108223 = 108320
- 103 + 108217 = 108320
- 109 + 108211 = 108320
- 127 + 108193 = 108320
- 181 + 108139 = 108320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.32.
- Address
- 0.1.167.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.167.32
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 108,320 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 108320 first appears in π at position 768,474 of the decimal expansion (the 768,474ordinal-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.