106,140
106,140 is a composite number, even.
106,140 (one hundred six thousand one hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 29 × 61. Its proper divisors sum to 206,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E9C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 41,601
- Recamán's sequence
- a(88,635) = 106,140
- Square (n²)
- 11,265,699,600
- Cube (n³)
- 1,195,741,355,544,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 312,480
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 102
Primality
Prime factorization: 2 2 × 3 × 5 × 29 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,140 = [325; (1, 3, 1, 3, 1, 4, 1, 1, 2, 5, 1, 1, 2, 2, 3, 4, 2, 162, 2, 4, 3, 2, 2, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand one hundred forty
- Ordinal
- 106140th
- Binary
- 11001111010011100
- Octal
- 317234
- Hexadecimal
- 0x19E9C
- Base64
- AZ6c
- One's complement
- 4,294,861,155 (32-bit)
- Scientific notation
- 1.0614 × 10⁵
- As a duration
- 106,140 s = 1 day, 5 hours, 29 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρϛρμʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋧·𝋠
- Chinese
- 十萬六千一百四十
- Chinese (financial)
- 壹拾萬陸仟壹佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106140, here are decompositions:
- 11 + 106129 = 106140
- 17 + 106123 = 106140
- 19 + 106121 = 106140
- 31 + 106109 = 106140
- 37 + 106103 = 106140
- 53 + 106087 = 106140
- 107 + 106033 = 106140
- 109 + 106031 = 106140
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.156.
- Address
- 0.1.158.156
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.156
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 106,140 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.