107,920
107,920 is a composite number, even.
107,920 (one hundred seven thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 19 × 71. Its proper divisors sum to 159,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A590.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 29,701
- Recamán's sequence
- a(47,051) = 107,920
- Square (n²)
- 11,646,726,400
- Cube (n³)
- 1,256,914,713,088,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 267,840
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 103
Primality
Prime factorization: 2 4 × 5 × 19 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,920 = [328; (1, 1, 20, 1, 2, 3, 1, 2, 1, 7, 2, 1, 1, 1, 8, 1, 1, 1, 2, 7, 1, 2, 1, 3, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand nine hundred twenty
- Ordinal
- 107920th
- Binary
- 11010010110010000
- Octal
- 322620
- Hexadecimal
- 0x1A590
- Base64
- AaWQ
- One's complement
- 4,294,859,375 (32-bit)
- Scientific notation
- 1.0792 × 10⁵
- As a duration
- 107,920 s = 1 day, 5 hours, 58 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρζϡκʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋰·𝋠
- Chinese
- 十萬七千九百二十
- Chinese (financial)
- 壹拾萬柒仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107920, here are decompositions:
- 17 + 107903 = 107920
- 23 + 107897 = 107920
- 47 + 107873 = 107920
- 53 + 107867 = 107920
- 83 + 107837 = 107920
- 173 + 107747 = 107920
- 179 + 107741 = 107920
- 227 + 107693 = 107920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.144.
- Address
- 0.1.165.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.165.144
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 107,920 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 107920 first appears in π at position 332,728 of the decimal expansion (the 332,728ordinal-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.