107,840
107,840 is a composite number, even.
107,840 (one hundred seven thousand eight hundred forty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 337. Its proper divisors sum to 149,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A540.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 48,701
- Square (n²)
- 11,629,465,600
- Cube (n³)
- 1,254,121,570,304,000
- Divisor count
- 28
- σ(n) — sum of divisors
- 257,556
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 354
Primality
Prime factorization: 2 6 × 5 × 337
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,840 = [328; (2, 1, 1, 3, 2, 2, 7, 1, 9, 2, 1, 1, 1, 1, 1, 15, 2, 1, 1, 163, 1, 1, 2, 15, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand eight hundred forty
- Ordinal
- 107840th
- Binary
- 11010010101000000
- Octal
- 322500
- Hexadecimal
- 0x1A540
- Base64
- AaVA
- One's complement
- 4,294,859,455 (32-bit)
- Scientific notation
- 1.0784 × 10⁵
- As a duration
- 107,840 s = 1 day, 5 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρζωμʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋬·𝋠
- Chinese
- 十萬七千八百四十
- Chinese (financial)
- 壹拾萬柒仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107840, here are decompositions:
- 3 + 107837 = 107840
- 13 + 107827 = 107840
- 67 + 107773 = 107840
- 79 + 107761 = 107840
- 127 + 107713 = 107840
- 193 + 107647 = 107840
- 199 + 107641 = 107840
- 241 + 107599 = 107840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.64.
- Address
- 0.1.165.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.165.64
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 107,840 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 107840 first appears in π at position 559,535 of the decimal expansion (the 559,535ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.