107,640
107,640 is a composite number, even.
107,640 (one hundred seven thousand six hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 13 × 23. Its proper divisors sum to 285,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A478.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 46,701
- Square (n²)
- 11,586,369,600
- Cube (n³)
- 1,247,156,823,744,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 25,344
- Sum of prime factors
- 53
Primality
Prime factorization: 2 3 × 3 2 × 5 × 13 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,640 = [328; (11, 1, 2, 1, 1, 12, 1, 4, 2, 72, 2, 4, 1, 12, 1, 1, 2, 1, 11, 656)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand six hundred forty
- Ordinal
- 107640th
- Binary
- 11010010001111000
- Octal
- 322170
- Hexadecimal
- 0x1A478
- Base64
- AaR4
- One's complement
- 4,294,859,655 (32-bit)
- Scientific notation
- 1.0764 × 10⁵
- As a duration
- 107,640 s = 1 day, 5 hours, 54 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρζχμʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋢·𝋠
- Chinese
- 十萬七千六百四十
- Chinese (financial)
- 壹拾萬柒仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107640, here are decompositions:
- 19 + 107621 = 107640
- 31 + 107609 = 107640
- 37 + 107603 = 107640
- 41 + 107599 = 107640
- 59 + 107581 = 107640
- 131 + 107509 = 107640
- 167 + 107473 = 107640
- 173 + 107467 = 107640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.120.
- Address
- 0.1.164.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.164.120
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 107,640 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 107640 first appears in π at position 140,321 of the decimal expansion (the 140,321ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.