520,800
520,800 is a composite number, even.
520,800 (five hundred twenty thousand eight hundred) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3 × 5² × 7 × 31. Its proper divisors sum to 1,479,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F260.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 8,025
- Square (n²)
- 271,232,640,000
- Cube (n³)
- 141,257,958,912,000,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 1,999,872
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 61
Primality
Prime factorization: 2 5 × 3 × 5 2 × 7 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√520,800 = [721; (1, 1, 1, 57, 15, 57, 1, 1, 1, 1442)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty thousand eight hundred
- Ordinal
- 520800th
- Binary
- 1111111001001100000
- Octal
- 1771140
- Hexadecimal
- 0x7F260
- Base64
- B/Jg
- One's complement
- 4,294,446,495 (32-bit)
- Scientific notation
- 5.208 × 10⁵
- As a duration
- 520,800 s = 6 days, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵φκωʹ
- Chinese
- 五十二萬零八百
- Chinese (financial)
- 伍拾貳萬零捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520800, here are decompositions:
- 13 + 520787 = 520800
- 37 + 520763 = 520800
- 41 + 520759 = 520800
- 53 + 520747 = 520800
- 79 + 520721 = 520800
- 83 + 520717 = 520800
- 97 + 520703 = 520800
- 101 + 520699 = 520800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.242.96.
- Address
- 0.7.242.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.242.96
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 520,800 and was likely granted around 1894.
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°.