105,840
105,840 is a composite number, even.
105,840 (one hundred five thousand eight hundred forty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3³ × 5 × 7². Its proper divisors sum to 318,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19D70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 48,501
- Recamán's sequence
- a(42,699) = 105,840
- Square (n²)
- 11,202,105,600
- Cube (n³)
- 1,185,630,856,704,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 424,080
- φ(n) — Euler's totient
- 24,192
- Sum of prime factors
- 36
Primality
Prime factorization: 2 4 × 3 3 × 5 × 7 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,840 = [325; (3, 40, 3, 650)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand eight hundred forty
- Ordinal
- 105840th
- Binary
- 11001110101110000
- Octal
- 316560
- Hexadecimal
- 0x19D70
- Base64
- AZ1w
- One's complement
- 4,294,861,455 (32-bit)
- Scientific notation
- 1.0584 × 10⁵
- As a duration
- 105,840 s = 1 day, 5 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρεωμʹ
- Mayan (base 20)
- 𝋭·𝋤·𝋬·𝋠
- Chinese
- 一十萬五千八百四十
- Chinese (financial)
- 壹拾萬伍仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105840, here are decompositions:
- 11 + 105829 = 105840
- 23 + 105817 = 105840
- 71 + 105769 = 105840
- 73 + 105767 = 105840
- 79 + 105761 = 105840
- 89 + 105751 = 105840
- 107 + 105733 = 105840
- 113 + 105727 = 105840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.157.112.
- Address
- 0.1.157.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.157.112
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 105,840 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 105840 first appears in π at position 952,644 of the decimal expansion (the 952,644ordinal-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°.