107,968
107,968 is a composite number, even.
107,968 (one hundred seven thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 241. Its proper divisors sum to 137,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A5C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 31
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 869,701
- Recamán's sequence
- a(46,755) = 107,968
- Square (n²)
- 11,657,089,024
- Cube (n³)
- 1,258,592,587,743,232
- Divisor count
- 28
- σ(n) — sum of divisors
- 245,872
- φ(n) — Euler's totient
- 46,080
- Sum of prime factors
- 260
Primality
Prime factorization: 2 6 × 7 × 241
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,968 = [328; (1, 1, 2, 2, 4, 5, 1, 1, 2, 3, 3, 7, 1, 4, 3, 1, 12, 1, 13, 18, 5, 2, 7, 10, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand nine hundred sixty-eight
- Ordinal
- 107968th
- Binary
- 11010010111000000
- Octal
- 322700
- Hexadecimal
- 0x1A5C0
- Base64
- AaXA
- One's complement
- 4,294,859,327 (32-bit)
- Scientific notation
- 1.07968 × 10⁵
- As a duration
- 107,968 s = 1 day, 5 hours, 59 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζϡξηʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋲·𝋨
- Chinese
- 十萬七千九百六十八
- Chinese (financial)
- 壹拾萬柒仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107968, here are decompositions:
- 17 + 107951 = 107968
- 41 + 107927 = 107968
- 71 + 107897 = 107968
- 101 + 107867 = 107968
- 131 + 107837 = 107968
- 191 + 107777 = 107968
- 227 + 107741 = 107968
- 251 + 107717 = 107968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.192.
- Address
- 0.1.165.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.165.192
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 107,968 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 107968 first appears in π at position 367,558 of the decimal expansion (the 367,558ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.