107,808
107,808 is a composite number, even.
107,808 (one hundred seven thousand eight hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,123. Its proper divisors sum to 175,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A520.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 808,701
- Square (n²)
- 11,622,564,864
- Cube (n³)
- 1,253,005,472,858,112
- Divisor count
- 24
- σ(n) — sum of divisors
- 283,248
- φ(n) — Euler's totient
- 35,904
- Sum of prime factors
- 1,136
Primality
Prime factorization: 2 5 × 3 × 1123
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,808 = [328; (2, 1, 13, 3, 3, 1, 1, 1, 1, 5, 3, 1, 19, 1, 3, 5, 1, 1, 1, 1, 3, 3, 13, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand eight hundred eight
- Ordinal
- 107808th
- Binary
- 11010010100100000
- Octal
- 322440
- Hexadecimal
- 0x1A520
- Base64
- AaUg
- One's complement
- 4,294,859,487 (32-bit)
- Scientific notation
- 1.07808 × 10⁵
- As a duration
- 107,808 s = 1 day, 5 hours, 56 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζωηʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋪·𝋨
- Chinese
- 十萬七千八百零八
- Chinese (financial)
- 壹拾萬柒仟捌佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107808, here are decompositions:
- 17 + 107791 = 107808
- 31 + 107777 = 107808
- 47 + 107761 = 107808
- 61 + 107747 = 107808
- 67 + 107741 = 107808
- 89 + 107719 = 107808
- 109 + 107699 = 107808
- 137 + 107671 = 107808
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.32.
- Address
- 0.1.165.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.165.32
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 107,808 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.