513,480
513,480 is a composite number, even.
513,480 (five hundred thirteen thousand four hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 389. Its proper divisors sum to 1,171,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D5C8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,315
- Square (n²)
- 263,661,710,400
- Cube (n³)
- 135,385,015,056,192,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,684,800
- φ(n) — Euler's totient
- 124,160
- Sum of prime factors
- 414
Primality
Prime factorization: 2 3 × 3 × 5 × 11 × 389
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,480 = [716; (1, 1, 2, 1, 4, 1, 2, 1, 1, 1432)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand four hundred eighty
- Ordinal
- 513480th
- Binary
- 1111101010111001000
- Octal
- 1752710
- Hexadecimal
- 0x7D5C8
- Base64
- B9XI
- One's complement
- 4,294,453,815 (32-bit)
- Scientific notation
- 5.1348 × 10⁵
- As a duration
- 513,480 s = 5 days, 22 hours, 38 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγυπʹ
- Chinese
- 五十一萬三千四百八十
- Chinese (financial)
- 伍拾壹萬參仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513480, here are decompositions:
- 7 + 513473 = 513480
- 41 + 513439 = 513480
- 53 + 513427 = 513480
- 61 + 513419 = 513480
- 73 + 513407 = 513480
- 83 + 513397 = 513480
- 109 + 513371 = 513480
- 113 + 513367 = 513480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.200.
- Address
- 0.7.213.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.200
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 513,480 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°.