536,640
536,640 is a composite number, even.
536,640 (five hundred thirty-six thousand six hundred forty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 13 × 43. Its proper divisors sum to 1,340,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x83040.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 46,635
- Square (n²)
- 287,982,489,600
- Cube (n³)
- 154,542,923,218,944,000
- Divisor count
- 112
- σ(n) — sum of divisors
- 1,877,568
- φ(n) — Euler's totient
- 129,024
- Sum of prime factors
- 76
Primality
Prime factorization: 2 6 × 3 × 5 × 13 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√536,640 = [732; (1, 1, 3, 1, 6, 1, 8, 2, 1, 10, 1, 2, 8, 1, 6, 1, 3, 1, 1, 1464)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirty-six thousand six hundred forty
- Ordinal
- 536640th
- Binary
- 10000011000001000000
- Octal
- 2030100
- Hexadecimal
- 0x83040
- Base64
- CDBA
- One's complement
- 4,294,430,655 (32-bit)
- Scientific notation
- 5.3664 × 10⁵
- As a duration
- 536,640 s = 6 days, 5 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φλϛχμʹ
- Chinese
- 五十三萬六千六百四十
- Chinese (financial)
- 伍拾參萬陸仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 536640, here are decompositions:
- 7 + 536633 = 536640
- 19 + 536621 = 536640
- 31 + 536609 = 536640
- 47 + 536593 = 536640
- 79 + 536561 = 536640
- 107 + 536533 = 536640
- 109 + 536531 = 536640
- 127 + 536513 = 536640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.48.64.
- Address
- 0.8.48.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.48.64
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 536,640 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 536640 first appears in π at position 520,466 of the decimal expansion (the 520,466ordinal-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°.