106,560
106,560 is a composite number, even.
106,560 (one hundred six thousand five hundred sixty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 37. Its proper divisors sum to 269,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A040.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 65,601
- Recamán's sequence
- a(45,227) = 106,560
- Square (n²)
- 11,355,033,600
- Cube (n³)
- 1,209,992,380,416,000
- Divisor count
- 84
- σ(n) — sum of divisors
- 376,428
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 60
Primality
Prime factorization: 2 6 × 3 2 × 5 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,560 = [326; (2, 3, 2, 1, 3, 72, 3, 1, 2, 3, 2, 652)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand five hundred sixty
- Ordinal
- 106560th
- Binary
- 11010000001000000
- Octal
- 320100
- Hexadecimal
- 0x1A040
- Base64
- AaBA
- One's complement
- 4,294,860,735 (32-bit)
- Scientific notation
- 1.0656 × 10⁵
- As a duration
- 106,560 s = 1 day, 5 hours, 36 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρϛφξʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋨·𝋠
- Chinese
- 十萬六千五百六十
- Chinese (financial)
- 壹拾萬陸仟伍佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106560, here are decompositions:
- 17 + 106543 = 106560
- 19 + 106541 = 106560
- 23 + 106537 = 106560
- 29 + 106531 = 106560
- 59 + 106501 = 106560
- 73 + 106487 = 106560
- 107 + 106453 = 106560
- 109 + 106451 = 106560
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.64.
- Address
- 0.1.160.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.64
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 106,560 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°.