513,300
513,300 is a composite number, even.
513,300 (five hundred thirteen thousand three hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 29 × 59. Its proper divisors sum to 1,049,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D514.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 3,315
- Square (n²)
- 263,476,890,000
- Cube (n³)
- 135,242,687,637,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,562,400
- φ(n) — Euler's totient
- 129,920
- Sum of prime factors
- 105
Primality
Prime factorization: 2 2 × 3 × 5 2 × 29 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,300 = [716; (2, 4, 2, 5, 2, 56, 1, 6, 24, 6, 1, 56, 2, 5, 2, 4, 2, 1432)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand three hundred
- Ordinal
- 513300th
- Binary
- 1111101010100010100
- Octal
- 1752424
- Hexadecimal
- 0x7D514
- Base64
- B9UU
- One's complement
- 4,294,453,995 (32-bit)
- Scientific notation
- 5.133 × 10⁵
- As a duration
- 513,300 s = 5 days, 22 hours, 35 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢
- Greek (Milesian)
- ͵φιγτʹ
- Chinese
- 五十一萬三千三百
- Chinese (financial)
- 伍拾壹萬參仟參佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513300, here are decompositions:
- 17 + 513283 = 513300
- 23 + 513277 = 513300
- 31 + 513269 = 513300
- 43 + 513257 = 513300
- 61 + 513239 = 513300
- 97 + 513203 = 513300
- 127 + 513173 = 513300
- 131 + 513169 = 513300
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.20.
- Address
- 0.7.213.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.20
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 513,300 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°.