108,120
108,120 is a composite number, even.
108,120 (one hundred eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 53. Its proper divisors sum to 241,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A658.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,801
- Recamán's sequence
- a(251,192) = 108,120
- Square (n²)
- 11,689,934,400
- Cube (n³)
- 1,263,915,707,328,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 349,920
- φ(n) — Euler's totient
- 26,624
- Sum of prime factors
- 84
Primality
Prime factorization: 2 3 × 3 × 5 × 17 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√108,120 = [328; (1, 4, 2, 3, 2, 3, 2, 4, 1, 656)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eight thousand one hundred twenty
- Ordinal
- 108120th
- Binary
- 11010011001011000
- Octal
- 323130
- Hexadecimal
- 0x1A658
- Base64
- AaZY
- One's complement
- 4,294,859,175 (32-bit)
- Scientific notation
- 1.0812 × 10⁵
- As a duration
- 108,120 s = 1 day, 6 hours, 2 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρηρκʹ
- Mayan (base 20)
- 𝋭·𝋪·𝋦·𝋠
- Chinese
- 十萬八千一百二十
- Chinese (financial)
- 壹拾萬捌仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108120, here are decompositions:
- 11 + 108109 = 108120
- 13 + 108107 = 108120
- 31 + 108089 = 108120
- 41 + 108079 = 108120
- 59 + 108061 = 108120
- 79 + 108041 = 108120
- 83 + 108037 = 108120
- 97 + 108023 = 108120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.88.
- Address
- 0.1.166.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.166.88
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 108,120 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.