106,520
106,520 is a composite number, even.
106,520 (one hundred six thousand five hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,663. Its proper divisors sum to 133,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A018.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 25,601
- Recamán's sequence
- a(88,147) = 106,520
- Square (n²)
- 11,346,510,400
- Cube (n³)
- 1,208,630,287,808,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 239,760
- φ(n) — Euler's totient
- 42,592
- Sum of prime factors
- 2,674
Primality
Prime factorization: 2 3 × 5 × 2663
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,520 = [326; (2, 1, 2, 15, 1, 1, 4, 1, 31, 1, 4, 1, 1, 15, 2, 1, 2, 652)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand five hundred twenty
- Ordinal
- 106520th
- Binary
- 11010000000011000
- Octal
- 320030
- Hexadecimal
- 0x1A018
- Base64
- AaAY
- One's complement
- 4,294,860,775 (32-bit)
- Scientific notation
- 1.0652 × 10⁵
- As a duration
- 106,520 s = 1 day, 5 hours, 35 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρϛφκʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋦·𝋠
- Chinese
- 十萬六千五百二十
- Chinese (financial)
- 壹拾萬陸仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106520, here are decompositions:
- 19 + 106501 = 106520
- 67 + 106453 = 106520
- 79 + 106441 = 106520
- 103 + 106417 = 106520
- 109 + 106411 = 106520
- 157 + 106363 = 106520
- 163 + 106357 = 106520
- 199 + 106321 = 106520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.24.
- Address
- 0.1.160.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.24
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 106,520 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.