107,040
107,040 is a composite number, even.
107,040 (one hundred seven thousand forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 223. Its proper divisors sum to 231,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A220.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,701
- Recamán's sequence
- a(45,663) = 107,040
- Square (n²)
- 11,457,561,600
- Cube (n³)
- 1,226,417,393,664,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 338,688
- φ(n) — Euler's totient
- 28,416
- Sum of prime factors
- 241
Primality
Prime factorization: 2 5 × 3 × 5 × 223
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,040 = [327; (5, 1, 8, 2, 1, 1, 1, 1, 2, 2, 3, 163, 3, 2, 2, 1, 1, 1, 1, 2, 8, 1, 5, 654)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand forty
- Ordinal
- 107040th
- Binary
- 11010001000100000
- Octal
- 321040
- Hexadecimal
- 0x1A220
- Base64
- AaIg
- One's complement
- 4,294,860,255 (32-bit)
- Scientific notation
- 1.0704 × 10⁵
- As a duration
- 107,040 s = 1 day, 5 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρζμʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋬·𝋠
- Chinese
- 十萬七千零四十
- Chinese (financial)
- 壹拾萬柒仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107040, here are decompositions:
- 7 + 107033 = 107040
- 19 + 107021 = 107040
- 47 + 106993 = 107040
- 61 + 106979 = 107040
- 79 + 106961 = 107040
- 83 + 106957 = 107040
- 103 + 106937 = 107040
- 137 + 106903 = 107040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.32.
- Address
- 0.1.162.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.32
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 107,040 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 107040 first appears in π at position 292,474 of the decimal expansion (the 292,474ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.