106,704
106,704 is a composite number, even.
106,704 (one hundred six thousand seven hundred four) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 13 × 19. Its proper divisors sum to 240,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A0D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 407,601
- Recamán's sequence
- a(85,935) = 106,704
- Square (n²)
- 11,385,743,616
- Cube (n³)
- 1,214,904,386,801,664
- Divisor count
- 80
- σ(n) — sum of divisors
- 347,200
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 49
Primality
Prime factorization: 2 4 × 3 3 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,704 = [326; (1, 1, 1, 9, 1, 1, 5, 1, 1, 9, 1, 1, 1, 652)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand seven hundred four
- Ordinal
- 106704th
- Binary
- 11010000011010000
- Octal
- 320320
- Hexadecimal
- 0x1A0D0
- Base64
- AaDQ
- One's complement
- 4,294,860,591 (32-bit)
- Scientific notation
- 1.06704 × 10⁵
- As a duration
- 106,704 s = 1 day, 5 hours, 38 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛψδʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋯·𝋤
- Chinese
- 十萬六千七百零四
- Chinese (financial)
- 壹拾萬陸仟柒佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106704, here are decompositions:
- 5 + 106699 = 106704
- 11 + 106693 = 106704
- 23 + 106681 = 106704
- 41 + 106663 = 106704
- 43 + 106661 = 106704
- 47 + 106657 = 106704
- 67 + 106637 = 106704
- 83 + 106621 = 106704
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.208.
- Address
- 0.1.160.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.208
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 106,704 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°.