107,198
107,198 is a composite number, even.
107,198 (one hundred seven thousand one hundred ninety-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 13 × 19 × 31. Its proper divisors sum to 107,842, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2BE.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 891,701
- Recamán's sequence
- a(82,451) = 107,198
- Square (n²)
- 11,491,411,204
- Cube (n³)
- 1,231,856,298,246,392
- Divisor count
- 32
- σ(n) — sum of divisors
- 215,040
- φ(n) — Euler's totient
- 38,880
- Sum of prime factors
- 72
Primality
Prime factorization: 2 × 7 × 13 × 19 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,198 = [327; (2, 2, 3, 4, 1, 1, 2, 5, 50, 5, 2, 1, 1, 4, 3, 2, 2, 654)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred ninety-eight
- Ordinal
- 107198th
- Binary
- 11010001010111110
- Octal
- 321276
- Hexadecimal
- 0x1A2BE
- Base64
- AaK+
- One's complement
- 4,294,860,097 (32-bit)
- Scientific notation
- 1.07198 × 10⁵
- As a duration
- 107,198 s = 1 day, 5 hours, 46 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζρϟηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋳·𝋲
- Chinese
- 十萬七千一百九十八
- Chinese (financial)
- 壹拾萬柒仟壹佰玖拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107198, here are decompositions:
- 61 + 107137 = 107198
- 79 + 107119 = 107198
- 97 + 107101 = 107198
- 109 + 107089 = 107198
- 127 + 107071 = 107198
- 241 + 106957 = 107198
- 277 + 106921 = 107198
- 331 + 106867 = 107198
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.190.
- Address
- 0.1.162.190
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.190
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 107,198 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.