106,764
106,764 is a composite number, even.
106,764 (one hundred six thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 31 × 41. Its proper divisors sum to 194,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A10C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 467,601
- Recamán's sequence
- a(81,583) = 106,764
- Square (n²)
- 11,398,551,696
- Cube (n³)
- 1,216,954,973,271,744
- Divisor count
- 48
- σ(n) — sum of divisors
- 301,056
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 86
Primality
Prime factorization: 2 2 × 3 × 7 × 31 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,764 = [326; (1, 2, 1, 25, 2, 1, 1, 3, 2, 1, 3, 5, 7, 1, 2, 6, 5, 2, 1, 162, 1, 2, 5, 6, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand seven hundred sixty-four
- Ordinal
- 106764th
- Binary
- 11010000100001100
- Octal
- 320414
- Hexadecimal
- 0x1A10C
- Base64
- AaEM
- One's complement
- 4,294,860,531 (32-bit)
- Scientific notation
- 1.06764 × 10⁵
- As a duration
- 106,764 s = 1 day, 5 hours, 39 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛψξδʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋲·𝋤
- Chinese
- 十萬六千七百六十四
- Chinese (financial)
- 壹拾萬陸仟柒佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106764, here are decompositions:
- 5 + 106759 = 106764
- 11 + 106753 = 106764
- 13 + 106751 = 106764
- 17 + 106747 = 106764
- 37 + 106727 = 106764
- 43 + 106721 = 106764
- 61 + 106703 = 106764
- 71 + 106693 = 106764
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.12.
- Address
- 0.1.161.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.12
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 106,764 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°.