107,440
107,440 is a composite number, even.
107,440 (one hundred seven thousand four hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 79. Its proper divisors sum to 160,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A3B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,701
- Recamán's sequence
- a(82,935) = 107,440
- Square (n²)
- 11,543,353,600
- Cube (n³)
- 1,240,217,910,784,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 267,840
- φ(n) — Euler's totient
- 39,936
- Sum of prime factors
- 109
Primality
Prime factorization: 2 4 × 5 × 17 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,440 = [327; (1, 3, 1, 1, 4, 7, 1, 6, 1, 12, 1, 1, 43, 5, 2, 1, 1, 7, 4, 1, 2, 1, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand four hundred forty
- Ordinal
- 107440th
- Binary
- 11010001110110000
- Octal
- 321660
- Hexadecimal
- 0x1A3B0
- Base64
- AaOw
- One's complement
- 4,294,859,855 (32-bit)
- Scientific notation
- 1.0744 × 10⁵
- As a duration
- 107,440 s = 1 day, 5 hours, 50 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρζυμʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋬·𝋠
- Chinese
- 十萬七千四百四十
- Chinese (financial)
- 壹拾萬柒仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107440, here are decompositions:
- 83 + 107357 = 107440
- 89 + 107351 = 107440
- 101 + 107339 = 107440
- 131 + 107309 = 107440
- 167 + 107273 = 107440
- 197 + 107243 = 107440
- 239 + 107201 = 107440
- 257 + 107183 = 107440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.176.
- Address
- 0.1.163.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.176
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 107,440 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.