107,352
107,352 is a composite number, even.
107,352 (one hundred seven thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 7 × 71. Its proper divisors sum to 238,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A358.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 253,701
- Recamán's sequence
- a(82,759) = 107,352
- Square (n²)
- 11,524,451,904
- Cube (n³)
- 1,237,172,960,798,208
- Divisor count
- 64
- σ(n) — sum of divisors
- 345,600
- φ(n) — Euler's totient
- 30,240
- Sum of prime factors
- 93
Primality
Prime factorization: 2 3 × 3 3 × 7 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,352 = [327; (1, 1, 1, 4, 1, 2, 1, 72, 13, 1, 13, 72, 1, 2, 1, 4, 1, 1, 1, 654)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand three hundred fifty-two
- Ordinal
- 107352nd
- Binary
- 11010001101011000
- Octal
- 321530
- Hexadecimal
- 0x1A358
- Base64
- AaNY
- One's complement
- 4,294,859,943 (32-bit)
- Scientific notation
- 1.07352 × 10⁵
- As a duration
- 107,352 s = 1 day, 5 hours, 49 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρζτνβʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋧·𝋬
- Chinese
- 十萬七千三百五十二
- Chinese (financial)
- 壹拾萬柒仟參佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107352, here are decompositions:
- 5 + 107347 = 107352
- 13 + 107339 = 107352
- 29 + 107323 = 107352
- 43 + 107309 = 107352
- 73 + 107279 = 107352
- 79 + 107273 = 107352
- 83 + 107269 = 107352
- 101 + 107251 = 107352
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.88.
- Address
- 0.1.163.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.88
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 107,352 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°.