513,520
513,520 is a composite number, even.
513,520 (five hundred thirteen thousand five hundred twenty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 7² × 131. Its proper divisors sum to 885,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D5F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 25,315
- Square (n²)
- 263,702,790,400
- Cube (n³)
- 135,416,656,926,208,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,399,464
- φ(n) — Euler's totient
- 174,720
- Sum of prime factors
- 158
Primality
Prime factorization: 2 4 × 5 × 7 2 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,520 = [716; (1, 1, 1, 1, 12, 3, 4, 1, 4, 3, 12, 1, 1, 1, 1, 1432)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand five hundred twenty
- Ordinal
- 513520th
- Binary
- 1111101010111110000
- Octal
- 1752760
- Hexadecimal
- 0x7D5F0
- Base64
- B9Xw
- One's complement
- 4,294,453,775 (32-bit)
- Scientific notation
- 5.1352 × 10⁵
- As a duration
- 513,520 s = 5 days, 22 hours, 38 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φιγφκʹ
- Chinese
- 五十一萬三千五百二十
- Chinese (financial)
- 伍拾壹萬參仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513520, here are decompositions:
- 11 + 513509 = 513520
- 41 + 513479 = 513520
- 47 + 513473 = 513520
- 89 + 513431 = 513520
- 101 + 513419 = 513520
- 113 + 513407 = 513520
- 149 + 513371 = 513520
- 167 + 513353 = 513520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.240.
- Address
- 0.7.213.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.240
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 513,520 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 513520 first appears in π at position 455,669 of the decimal expansion (the 455,669ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.