107,120
107,120 is a composite number, even.
107,120 (one hundred seven thousand one hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 103. Its proper divisors sum to 163,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A270.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,701
- Recamán's sequence
- a(82,295) = 107,120
- Square (n²)
- 11,474,694,400
- Cube (n³)
- 1,229,169,264,128,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 270,816
- φ(n) — Euler's totient
- 39,168
- Sum of prime factors
- 129
Primality
Prime factorization: 2 4 × 5 × 13 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,120 = [327; (3, 2, 2, 1, 6, 5, 2, 40, 2, 5, 6, 1, 2, 2, 3, 654)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred twenty
- Ordinal
- 107120th
- Binary
- 11010001001110000
- Octal
- 321160
- Hexadecimal
- 0x1A270
- Base64
- AaJw
- One's complement
- 4,294,860,175 (32-bit)
- Scientific notation
- 1.0712 × 10⁵
- As a duration
- 107,120 s = 1 day, 5 hours, 45 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρζρκʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋰·𝋠
- Chinese
- 十萬七千一百二十
- Chinese (financial)
- 壹拾萬柒仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107120, here are decompositions:
- 19 + 107101 = 107120
- 31 + 107089 = 107120
- 43 + 107077 = 107120
- 67 + 107053 = 107120
- 127 + 106993 = 107120
- 157 + 106963 = 107120
- 163 + 106957 = 107120
- 199 + 106921 = 107120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.112.
- Address
- 0.1.162.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.112
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 107,120 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.