106,080
106,080 is a composite number, even.
106,080 (one hundred six thousand eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 13 × 17. Its proper divisors sum to 274,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 80,601
- Flips to (rotate 180°)
- 80,901
- Recamán's sequence
- a(88,763) = 106,080
- Square (n²)
- 11,252,966,400
- Cube (n³)
- 1,193,714,675,712,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 381,024
- φ(n) — Euler's totient
- 24,576
- Sum of prime factors
- 48
Primality
Prime factorization: 2 5 × 3 × 5 × 13 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,080 = [325; (1, 2, 3, 12, 1, 161, 1, 12, 3, 2, 1, 650)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand eighty
- Ordinal
- 106080th
- Binary
- 11001111001100000
- Octal
- 317140
- Hexadecimal
- 0x19E60
- Base64
- AZ5g
- One's complement
- 4,294,861,215 (32-bit)
- Scientific notation
- 1.0608 × 10⁵
- As a duration
- 106,080 s = 1 day, 5 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρϛπʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋤·𝋠
- Chinese
- 十萬六千零八十
- Chinese (financial)
- 壹拾萬陸仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106080, here are decompositions:
- 47 + 106033 = 106080
- 61 + 106019 = 106080
- 67 + 106013 = 106080
- 83 + 105997 = 106080
- 97 + 105983 = 106080
- 103 + 105977 = 106080
- 109 + 105971 = 106080
- 113 + 105967 = 106080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.96.
- Address
- 0.1.158.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.96
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 106,080 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 106080 first appears in π at position 26,158 of the decimal expansion (the 26,158ordinal-suffix:th 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°.