106,840
106,840 is a composite number, even.
106,840 (one hundred six thousand eight hundred forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,671. Its proper divisors sum to 133,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A158.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 48,601
- Recamán's sequence
- a(24,328) = 106,840
- Square (n²)
- 11,414,785,600
- Cube (n³)
- 1,219,555,693,504,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 240,480
- φ(n) — Euler's totient
- 42,720
- Sum of prime factors
- 2,682
Primality
Prime factorization: 2 3 × 5 × 2671
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,840 = [326; (1, 6, 2, 1, 7, 1, 1, 2, 5, 2, 43, 8, 20, 1, 26, 3, 2, 72, 4, 1, 4, 1, 5, 16, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand eight hundred forty
- Ordinal
- 106840th
- Binary
- 11010000101011000
- Octal
- 320530
- Hexadecimal
- 0x1A158
- Base64
- AaFY
- One's complement
- 4,294,860,455 (32-bit)
- Scientific notation
- 1.0684 × 10⁵
- As a duration
- 106,840 s = 1 day, 5 hours, 40 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρϛωμʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋢·𝋠
- Chinese
- 十萬六千八百四十
- Chinese (financial)
- 壹拾萬陸仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106840, here are decompositions:
- 17 + 106823 = 106840
- 53 + 106787 = 106840
- 59 + 106781 = 106840
- 89 + 106751 = 106840
- 101 + 106739 = 106840
- 113 + 106727 = 106840
- 137 + 106703 = 106840
- 179 + 106661 = 106840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.88.
- Address
- 0.1.161.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.88
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 106,840 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.