513,080
513,080 is a composite number, even.
513,080 (five hundred thirteen thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 101 × 127. Its proper divisors sum to 661,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D438.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 80,315
- Square (n²)
- 263,251,086,400
- Cube (n³)
- 135,068,867,410,112,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,175,040
- φ(n) — Euler's totient
- 201,600
- Sum of prime factors
- 239
Primality
Prime factorization: 2 3 × 5 × 101 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,080 = [716; (3, 2, 1, 1, 1, 4, 2, 18, 2, 1, 1, 28, 1, 1, 1, 3, 3, 3, 1, 1, 1, 28, 1, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand eighty
- Ordinal
- 513080th
- Binary
- 1111101010000111000
- Octal
- 1752070
- Hexadecimal
- 0x7D438
- Base64
- B9Q4
- One's complement
- 4,294,454,215 (32-bit)
- Scientific notation
- 5.1308 × 10⁵
- As a duration
- 513,080 s = 5 days, 22 hours, 31 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγπʹ
- Chinese
- 五十一萬三千零八十
- Chinese (financial)
- 伍拾壹萬參仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513080, here are decompositions:
- 13 + 513067 = 513080
- 67 + 513013 = 513080
- 79 + 513001 = 513080
- 103 + 512977 = 513080
- 151 + 512929 = 513080
- 163 + 512917 = 513080
- 181 + 512899 = 513080
- 277 + 512803 = 513080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.56.
- Address
- 0.7.212.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.56
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 513,080 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 513080 first appears in π at position 699,022 of the decimal expansion (the 699,022ordinal-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°.