106,040
106,040 is a composite number, even.
106,040 (one hundred six thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 241. Its proper divisors sum to 155,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E38.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,601
- Recamán's sequence
- a(89,091) = 106,040
- Square (n²)
- 11,244,481,600
- Cube (n³)
- 1,192,364,828,864,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 261,360
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 263
Primality
Prime factorization: 2 3 × 5 × 11 × 241
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,040 = [325; (1, 1, 1, 3, 5, 2, 1, 12, 1, 1, 1, 1, 7, 1, 1, 1, 3, 1, 1, 1, 15, 1, 1, 1, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand forty
- Ordinal
- 106040th
- Binary
- 11001111000111000
- Octal
- 317070
- Hexadecimal
- 0x19E38
- Base64
- AZ44
- One's complement
- 4,294,861,255 (32-bit)
- Scientific notation
- 1.0604 × 10⁵
- As a duration
- 106,040 s = 1 day, 5 hours, 27 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρϛμʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋢·𝋠
- Chinese
- 十萬六千零四十
- Chinese (financial)
- 壹拾萬陸仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106040, here are decompositions:
- 7 + 106033 = 106040
- 43 + 105997 = 106040
- 73 + 105967 = 106040
- 97 + 105943 = 106040
- 127 + 105913 = 106040
- 157 + 105883 = 106040
- 211 + 105829 = 106040
- 223 + 105817 = 106040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.56.
- Address
- 0.1.158.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.56
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 106,040 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.