107,180
107,180 is a composite number, even.
107,180 (one hundred seven thousand one hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 233. Its proper divisors sum to 128,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2AC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 81,701
- Recamán's sequence
- a(82,415) = 107,180
- Square (n²)
- 11,487,552,400
- Cube (n³)
- 1,231,235,866,232,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 235,872
- φ(n) — Euler's totient
- 40,832
- Sum of prime factors
- 265
Primality
Prime factorization: 2 2 × 5 × 23 × 233
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,180 = [327; (2, 1, 1, 1, 1, 5, 34, 3, 1, 1, 8, 22, 2, 5, 1, 162, 1, 5, 2, 22, 8, 1, 1, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred eighty
- Ordinal
- 107180th
- Binary
- 11010001010101100
- Octal
- 321254
- Hexadecimal
- 0x1A2AC
- Base64
- AaKs
- One's complement
- 4,294,860,115 (32-bit)
- Scientific notation
- 1.0718 × 10⁵
- As a duration
- 107,180 s = 1 day, 5 hours, 46 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρζρπʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋳·𝋠
- Chinese
- 十萬七千一百八十
- Chinese (financial)
- 壹拾萬柒仟壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107180, here are decompositions:
- 43 + 107137 = 107180
- 61 + 107119 = 107180
- 79 + 107101 = 107180
- 103 + 107077 = 107180
- 109 + 107071 = 107180
- 127 + 107053 = 107180
- 223 + 106957 = 107180
- 277 + 106903 = 107180
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.172.
- Address
- 0.1.162.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.172
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 107,180 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 107180 first appears in π at position 177,935 of the decimal expansion (the 177,935ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.