107,408
107,408 is a composite number, even.
107,408 (one hundred seven thousand four hundred eight) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 7² × 137. Its proper divisors sum to 136,438, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A390.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 804,701
- Recamán's sequence
- a(82,871) = 107,408
- Square (n²)
- 11,536,478,464
- Cube (n³)
- 1,239,110,078,861,312
- Divisor count
- 30
- σ(n) — sum of divisors
- 243,846
- φ(n) — Euler's totient
- 45,696
- Sum of prime factors
- 159
Primality
Prime factorization: 2 4 × 7 2 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,408 = [327; (1, 2, 1, 2, 1, 1, 1, 4, 1, 3, 1, 1, 1, 1, 5, 1, 3, 13, 8, 1, 1, 4, 1, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand four hundred eight
- Ordinal
- 107408th
- Binary
- 11010001110010000
- Octal
- 321620
- Hexadecimal
- 0x1A390
- Base64
- AaOQ
- One's complement
- 4,294,859,887 (32-bit)
- Scientific notation
- 1.07408 × 10⁵
- As a duration
- 107,408 s = 1 day, 5 hours, 50 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζυηʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋪·𝋨
- Chinese
- 十萬七千四百零八
- Chinese (financial)
- 壹拾萬柒仟肆佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107408, here are decompositions:
- 31 + 107377 = 107408
- 61 + 107347 = 107408
- 139 + 107269 = 107408
- 157 + 107251 = 107408
- 181 + 107227 = 107408
- 199 + 107209 = 107408
- 211 + 107197 = 107408
- 271 + 107137 = 107408
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.144.
- Address
- 0.1.163.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.144
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 107,408 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 107408 first appears in π at position 437,403 of the decimal expansion (the 437,403ordinal-suffix:rd 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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.