107,008
107,008 is a composite number, even.
107,008 (one hundred seven thousand eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 11 × 19. Its proper divisors sum to 138,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A200.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 800,701
- Recamán's sequence
- a(81,255) = 107,008
- Square (n²)
- 11,450,712,064
- Cube (n³)
- 1,225,317,796,544,512
- Divisor count
- 40
- σ(n) — sum of divisors
- 245,520
- φ(n) — Euler's totient
- 46,080
- Sum of prime factors
- 48
Primality
Prime factorization: 2 9 × 11 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,008 = [327; (8, 3, 1, 1, 3, 163, 3, 1, 1, 3, 8, 654)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand eight
- Ordinal
- 107008th
- Binary
- 11010001000000000
- Octal
- 321000
- Hexadecimal
- 0x1A200
- Base64
- AaIA
- One's complement
- 4,294,860,287 (32-bit)
- Scientific notation
- 1.07008 × 10⁵
- As a duration
- 107,008 s = 1 day, 5 hours, 43 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋪·𝋨
- Chinese
- 十萬七千零八
- Chinese (financial)
- 壹拾萬柒仟零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107008, here are decompositions:
- 29 + 106979 = 107008
- 47 + 106961 = 107008
- 59 + 106949 = 107008
- 71 + 106937 = 107008
- 101 + 106907 = 107008
- 131 + 106877 = 107008
- 137 + 106871 = 107008
- 149 + 106859 = 107008
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.0.
- Address
- 0.1.162.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.0
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 107,008 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.