106,792
106,792 is a composite number, even.
106,792 (one hundred six thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 1,907. Its proper divisors sum to 122,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A128.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 297,601
- Recamán's sequence
- a(81,639) = 106,792
- Square (n²)
- 11,404,531,264
- Cube (n³)
- 1,217,912,702,745,088
- Divisor count
- 16
- σ(n) — sum of divisors
- 228,960
- φ(n) — Euler's totient
- 45,744
- Sum of prime factors
- 1,920
Primality
Prime factorization: 2 3 × 7 × 1907
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,792 = [326; (1, 3, 1, 3, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 3, 2, 6, 1, 71, 1, 3, 13, 1, …)]
Representations
- In words
- one hundred six thousand seven hundred ninety-two
- Ordinal
- 106792nd
- Binary
- 11010000100101000
- Octal
- 320450
- Hexadecimal
- 0x1A128
- Base64
- AaEo
- One's complement
- 4,294,860,503 (32-bit)
- Scientific notation
- 1.06792 × 10⁵
- As a duration
- 106,792 s = 1 day, 5 hours, 39 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛψϟβʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋳·𝋬
- Chinese
- 十萬六千七百九十二
- Chinese (financial)
- 壹拾萬陸仟柒佰玖拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106792, here are decompositions:
- 5 + 106787 = 106792
- 11 + 106781 = 106792
- 41 + 106751 = 106792
- 53 + 106739 = 106792
- 71 + 106721 = 106792
- 89 + 106703 = 106792
- 131 + 106661 = 106792
- 173 + 106619 = 106792
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.40.
- Address
- 0.1.161.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.40
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 106,792 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.