513,640
513,640 is a composite number, even.
513,640 (five hundred thirteen thousand six hundred forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 12,841. Its proper divisors sum to 642,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D668.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 46,315
- Square (n²)
- 263,826,049,600
- Cube (n³)
- 135,511,612,116,544,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 1,155,780
- φ(n) — Euler's totient
- 205,440
- Sum of prime factors
- 12,852
Primality
Prime factorization: 2 3 × 5 × 12841
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,640 = [716; (1, 2, 5, 5, 1, 1, 3, 8, 5, 59, 1, 1, 8, 4, 4, 5, 1, 1, 11, 1, 1, 158, 1, 2, …)]
Representations
- In words
- five hundred thirteen thousand six hundred forty
- Ordinal
- 513640th
- Binary
- 1111101011001101000
- Octal
- 1753150
- Hexadecimal
- 0x7D668
- Base64
- B9Zo
- One's complement
- 4,294,453,655 (32-bit)
- Scientific notation
- 5.1364 × 10⁵
- As a duration
- 513,640 s = 5 days, 22 hours, 40 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγχμʹ
- Chinese
- 五十一萬三千六百四十
- Chinese (financial)
- 伍拾壹萬參仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513640, here are decompositions:
- 47 + 513593 = 513640
- 107 + 513533 = 513640
- 131 + 513509 = 513640
- 167 + 513473 = 513640
- 233 + 513407 = 513640
- 269 + 513371 = 513640
- 293 + 513347 = 513640
- 383 + 513257 = 513640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.214.104.
- Address
- 0.7.214.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.214.104
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 513,640 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 513640 first appears in π at position 211,643 of the decimal expansion (the 211,643ordinal-suffix:rd 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°.