107,664
107,664 is a composite number, even.
107,664 (one hundred seven thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,243. Its proper divisors sum to 170,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A490.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 466,701
- Square (n²)
- 11,591,536,896
- Cube (n³)
- 1,247,991,228,370,944
- Divisor count
- 20
- σ(n) — sum of divisors
- 278,256
- φ(n) — Euler's totient
- 35,872
- Sum of prime factors
- 2,254
Primality
Prime factorization: 2 4 × 3 × 2243
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,664 = [328; (8, 4, 1, 25, 2, 4, 28, 3, 4, 2, 1, 3, 1, 5, 13, 1, 3, 1, 3, 7, 1, 1, 4, 1, …)]
Representations
- In words
- one hundred seven thousand six hundred sixty-four
- Ordinal
- 107664th
- Binary
- 11010010010010000
- Octal
- 322220
- Hexadecimal
- 0x1A490
- Base64
- AaSQ
- One's complement
- 4,294,859,631 (32-bit)
- Scientific notation
- 1.07664 × 10⁵
- As a duration
- 107,664 s = 1 day, 5 hours, 54 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζχξδʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋣·𝋤
- Chinese
- 十萬七千六百六十四
- Chinese (financial)
- 壹拾萬柒仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107664, here are decompositions:
- 17 + 107647 = 107664
- 23 + 107641 = 107664
- 43 + 107621 = 107664
- 61 + 107603 = 107664
- 83 + 107581 = 107664
- 101 + 107563 = 107664
- 157 + 107507 = 107664
- 191 + 107473 = 107664
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.144.
- Address
- 0.1.164.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.164.144
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 107,664 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°.