107,424
107,424 is a composite number, even.
107,424 (one hundred seven thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 373. Its proper divisors sum to 198,882, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A3A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 424,701
- Recamán's sequence
- a(82,903) = 107,424
- Square (n²)
- 11,539,915,776
- Cube (n³)
- 1,239,663,912,321,024
- Divisor count
- 36
- σ(n) — sum of divisors
- 306,306
- φ(n) — Euler's totient
- 35,712
- Sum of prime factors
- 389
Primality
Prime factorization: 2 5 × 3 2 × 373
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,424 = [327; (1, 3, 10, 6, 2, 5, 2, 1, 1, 3, 1, 2, 4, 5, 5, 3, 6, 1, 1, 2, 2, 1, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand four hundred twenty-four
- Ordinal
- 107424th
- Binary
- 11010001110100000
- Octal
- 321640
- Hexadecimal
- 0x1A3A0
- Base64
- AaOg
- One's complement
- 4,294,859,871 (32-bit)
- Scientific notation
- 1.07424 × 10⁵
- As a duration
- 107,424 s = 1 day, 5 hours, 50 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζυκδʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋫·𝋤
- Chinese
- 十萬七千四百二十四
- Chinese (financial)
- 壹拾萬柒仟肆佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107424, here are decompositions:
- 47 + 107377 = 107424
- 67 + 107357 = 107424
- 73 + 107351 = 107424
- 101 + 107323 = 107424
- 151 + 107273 = 107424
- 173 + 107251 = 107424
- 181 + 107243 = 107424
- 197 + 107227 = 107424
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.160.
- Address
- 0.1.163.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.160
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 107,424 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°.