513,168
513,168 is a composite number, even.
513,168 (five hundred thirteen thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 10,691. Its proper divisors sum to 812,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D490.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 720
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 861,315
- Square (n²)
- 263,341,396,224
- Cube (n³)
- 135,138,377,617,477,632
- Divisor count
- 20
- σ(n) — sum of divisors
- 1,325,808
- φ(n) — Euler's totient
- 171,040
- Sum of prime factors
- 10,702
Primality
Prime factorization: 2 4 × 3 × 10691
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,168 = [716; (2, 1, 3, 1, 15, 1, 2, 6, 1, 3, 1, 2, 2, 29, 2, 2, 1, 3, 1, 6, 2, 1, 15, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand one hundred sixty-eight
- Ordinal
- 513168th
- Binary
- 1111101010010010000
- Octal
- 1752220
- Hexadecimal
- 0x7D490
- Base64
- B9SQ
- One's complement
- 4,294,454,127 (32-bit)
- Scientific notation
- 5.13168 × 10⁵
- As a duration
- 513,168 s = 5 days, 22 hours, 32 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγρξηʹ
- Chinese
- 五十一萬三千一百六十八
- Chinese (financial)
- 伍拾壹萬參仟壹佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513168, here are decompositions:
- 11 + 513157 = 513168
- 31 + 513137 = 513168
- 37 + 513131 = 513168
- 59 + 513109 = 513168
- 67 + 513101 = 513168
- 101 + 513067 = 513168
- 109 + 513059 = 513168
- 127 + 513041 = 513168
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.144.
- Address
- 0.7.212.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.144
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 513,168 and was likely granted around 1893.
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°.