513,216
513,216 is a composite number, even.
513,216 (five hundred thirteen thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 98 divisors, and factors as 2⁶ × 3⁶ × 11. Its proper divisors sum to 1,152,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D4C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 180
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 612,315
- Square (n²)
- 263,390,662,656
- Cube (n³)
- 135,176,302,325,661,696
- Divisor count
- 98
- σ(n) — sum of divisors
- 1,665,732
- φ(n) — Euler's totient
- 155,520
- Sum of prime factors
- 41
Primality
Prime factorization: 2 6 × 3 6 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,216 = [716; (2, 1, 1, 3, 1, 4, 1, 1, 1, 1, 1, 17, 15, 39, 1, 2, 1, 2, 1, 16, 1, 21, 2, 3, …)]
Representations
- In words
- five hundred thirteen thousand two hundred sixteen
- Ordinal
- 513216th
- Binary
- 1111101010011000000
- Octal
- 1752300
- Hexadecimal
- 0x7D4C0
- Base64
- B9TA
- One's complement
- 4,294,454,079 (32-bit)
- Scientific notation
- 5.13216 × 10⁵
- As a duration
- 513,216 s = 5 days, 22 hours, 33 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγσιϛʹ
- Chinese
- 五十一萬三千二百一十六
- Chinese (financial)
- 伍拾壹萬參仟貳佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513216, here are decompositions:
- 13 + 513203 = 513216
- 43 + 513173 = 513216
- 47 + 513169 = 513216
- 59 + 513157 = 513216
- 79 + 513137 = 513216
- 107 + 513109 = 513216
- 113 + 513103 = 513216
- 149 + 513067 = 513216
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.192.
- Address
- 0.7.212.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.192
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 513,216 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°.