513,264
513,264 is a composite number, even.
513,264 (five hundred thirteen thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 17² × 37. Its proper divisors sum to 933,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D4F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 720
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 462,315
- Square (n²)
- 263,439,933,696
- Cube (n³)
- 135,214,234,128,543,744
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,446,584
- φ(n) — Euler's totient
- 156,672
- Sum of prime factors
- 82
Primality
Prime factorization: 2 4 × 3 × 17 2 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,264 = [716; (2, 2, 1, 4, 4, 9, 1, 1, 1, 4, 3, 3, 3, 1, 2, 4, 1, 1, 2, 11, 2, 4, 2, 11, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand two hundred sixty-four
- Ordinal
- 513264th
- Binary
- 1111101010011110000
- Octal
- 1752360
- Hexadecimal
- 0x7D4F0
- Base64
- B9Tw
- One's complement
- 4,294,454,031 (32-bit)
- Scientific notation
- 5.13264 × 10⁵
- As a duration
- 513,264 s = 5 days, 22 hours, 34 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγσξδʹ
- Chinese
- 五十一萬三千二百六十四
- Chinese (financial)
- 伍拾壹萬參仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513264, here are decompositions:
- 7 + 513257 = 513264
- 61 + 513203 = 513264
- 97 + 513167 = 513264
- 107 + 513157 = 513264
- 127 + 513137 = 513264
- 163 + 513101 = 513264
- 181 + 513083 = 513264
- 197 + 513067 = 513264
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.240.
- Address
- 0.7.212.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.240
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 513,264 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 513264 first appears in π at position 77,205 of the decimal expansion (the 77,205ordinal-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°.