106,020
106,020 is a composite number, even.
106,020 (one hundred six thousand twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 19 × 31. Its proper divisors sum to 243,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E24.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 20,601
- Recamán's sequence
- a(89,131) = 106,020
- Square (n²)
- 11,240,240,400
- Cube (n³)
- 1,191,690,287,208,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 349,440
- φ(n) — Euler's totient
- 25,920
- Sum of prime factors
- 65
Primality
Prime factorization: 2 2 × 3 2 × 5 × 19 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,020 = [325; (1, 1, 1, 1, 5, 72, 5, 1, 1, 1, 1, 650)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand twenty
- Ordinal
- 106020th
- Binary
- 11001111000100100
- Octal
- 317044
- Hexadecimal
- 0x19E24
- Base64
- AZ4k
- One's complement
- 4,294,861,275 (32-bit)
- Scientific notation
- 1.0602 × 10⁵
- As a duration
- 106,020 s = 1 day, 5 hours, 27 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
- Greek (Milesian)
- ͵ρϛκʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋡·𝋠
- Chinese
- 十萬六千零二十
- Chinese (financial)
- 壹拾萬陸仟零貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106020, here are decompositions:
- 7 + 106013 = 106020
- 23 + 105997 = 106020
- 37 + 105983 = 106020
- 43 + 105977 = 106020
- 53 + 105967 = 106020
- 67 + 105953 = 106020
- 107 + 105913 = 106020
- 113 + 105907 = 106020
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.36.
- Address
- 0.1.158.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.36
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 106,020 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°.