505,200
505,200 is a composite number, even.
505,200 (five hundred five thousand two hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 421. Its proper divisors sum to 1,116,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B570.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 2,505
- Square (n²)
- 255,227,040,000
- Cube (n³)
- 128,940,700,608,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,622,168
- φ(n) — Euler's totient
- 134,400
- Sum of prime factors
- 442
Primality
Prime factorization: 2 4 × 3 × 5 2 × 421
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√505,200 = [710; (1, 3, 2, 3, 32, 56, 1, 4, 1, 10, 1, 10, 1, 4, 1, 56, 32, 3, 2, 3, 1, 1420)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- five hundred five thousand two hundred
- Ordinal
- 505200th
- Binary
- 1111011010101110000
- Octal
- 1732560
- Hexadecimal
- 0x7B570
- Base64
- B7Vw
- One's complement
- 4,294,462,095 (32-bit)
- Scientific notation
- 5.052 × 10⁵
- As a duration
- 505,200 s = 5 days, 20 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵φεσʹ
- Chinese
- 五十萬五千二百
- Chinese (financial)
- 伍拾萬伍仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 505200, here are decompositions:
- 13 + 505187 = 505200
- 19 + 505181 = 505200
- 41 + 505159 = 505200
- 43 + 505157 = 505200
- 61 + 505139 = 505200
- 71 + 505129 = 505200
- 83 + 505117 = 505200
- 89 + 505111 = 505200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.181.112.
- Address
- 0.7.181.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.181.112
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 505,200 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 505200 first appears in π at position 441,992 of the decimal expansion (the 441,992ordinal-suffix:nd 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°.