107,152
107,152 is a composite number, even.
107,152 (one hundred seven thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 181. Its proper divisors sum to 107,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A290.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 251,701
- Recamán's sequence
- a(82,359) = 107,152
- Square (n²)
- 11,481,551,104
- Cube (n³)
- 1,230,271,163,895,808
- Divisor count
- 20
- σ(n) — sum of divisors
- 214,396
- φ(n) — Euler's totient
- 51,840
- Sum of prime factors
- 226
Primality
Prime factorization: 2 4 × 37 × 181
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,152 = [327; (2, 1, 14, 4, 1, 2, 2, 4, 1, 71, 1, 12, 1, 1, 1, 7, 2, 2, 1, 3, 1, 2, 2, 7, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred fifty-two
- Ordinal
- 107152nd
- Binary
- 11010001010010000
- Octal
- 321220
- Hexadecimal
- 0x1A290
- Base64
- AaKQ
- One's complement
- 4,294,860,143 (32-bit)
- Scientific notation
- 1.07152 × 10⁵
- As a duration
- 107,152 s = 1 day, 5 hours, 45 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρζρνβʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋱·𝋬
- Chinese
- 十萬七千一百五十二
- Chinese (financial)
- 壹拾萬柒仟壹佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107152, here are decompositions:
- 29 + 107123 = 107152
- 53 + 107099 = 107152
- 83 + 107069 = 107152
- 131 + 107021 = 107152
- 173 + 106979 = 107152
- 191 + 106961 = 107152
- 281 + 106871 = 107152
- 293 + 106859 = 107152
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.144.
- Address
- 0.1.162.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.144
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 107,152 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.