107,520
107,520 is a composite number, even.
107,520 (one hundred seven thousand five hundred twenty) is an even 6-digit number. It is a composite number with 88 divisors, and factors as 2¹⁰ × 3 × 5 × 7. Its proper divisors sum to 285,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A400.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 25,701
- Recamán's sequence
- a(46,295) = 107,520
- Square (n²)
- 11,560,550,400
- Cube (n³)
- 1,242,990,379,008,000
- Divisor count
- 88
- σ(n) — sum of divisors
- 393,024
- φ(n) — Euler's totient
- 24,576
- Sum of prime factors
- 35
Primality
Prime factorization: 2 10 × 3 × 5 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,520 = [327; (1, 9, 4, 40, 1, 2, 1, 9, 2, 163, 2, 9, 1, 2, 1, 40, 4, 9, 1, 654)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand five hundred twenty
- Ordinal
- 107520th
- Binary
- 11010010000000000
- Octal
- 322000
- Hexadecimal
- 0x1A400
- Base64
- AaQA
- One's complement
- 4,294,859,775 (32-bit)
- Scientific notation
- 1.0752 × 10⁵
- As a duration
- 107,520 s = 1 day, 5 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρζφκʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋰·𝋠
- Chinese
- 十萬七千五百二十
- Chinese (financial)
- 壹拾萬柒仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107520, here are decompositions:
- 11 + 107509 = 107520
- 13 + 107507 = 107520
- 47 + 107473 = 107520
- 53 + 107467 = 107520
- 67 + 107453 = 107520
- 71 + 107449 = 107520
- 79 + 107441 = 107520
- 163 + 107357 = 107520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.0.
- Address
- 0.1.164.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.164.0
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 107,520 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°.