105,740
105,740 is a composite number, even.
105,740 (one hundred five thousand seven hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 311. Its proper divisors sum to 130,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19D0C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 47,501
- Recamán's sequence
- a(42,899) = 105,740
- Square (n²)
- 11,180,947,600
- Cube (n³)
- 1,182,273,399,224,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 235,872
- φ(n) — Euler's totient
- 39,680
- Sum of prime factors
- 337
Primality
Prime factorization: 2 2 × 5 × 17 × 311
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,740 = [325; (5, 1, 1, 1, 7, 1, 10, 7, 4, 1, 1, 1, 3, 1, 1, 1, 33, 1, 1, 2, 3, 162, 3, 2, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand seven hundred forty
- Ordinal
- 105740th
- Binary
- 11001110100001100
- Octal
- 316414
- Hexadecimal
- 0x19D0C
- Base64
- AZ0M
- One's complement
- 4,294,861,555 (32-bit)
- Scientific notation
- 1.0574 × 10⁵
- As a duration
- 105,740 s = 1 day, 5 hours, 22 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρεψμʹ
- Mayan (base 20)
- 𝋭·𝋤·𝋧·𝋠
- Chinese
- 一十萬五千七百四十
- Chinese (financial)
- 壹拾萬伍仟柒佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105740, here are decompositions:
- 7 + 105733 = 105740
- 13 + 105727 = 105740
- 67 + 105673 = 105740
- 73 + 105667 = 105740
- 127 + 105613 = 105740
- 139 + 105601 = 105740
- 199 + 105541 = 105740
- 211 + 105529 = 105740
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.157.12.
- Address
- 0.1.157.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.157.12
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 105,740 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.