513,240
513,240 is a composite number, even.
513,240 (five hundred thirteen thousand two hundred forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 13 × 47. Its proper divisors sum to 1,422,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D4D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 42,315
- Square (n²)
- 263,415,297,600
- Cube (n³)
- 135,195,267,340,224,000
- Divisor count
- 128
- σ(n) — sum of divisors
- 1,935,360
- φ(n) — Euler's totient
- 105,984
- Sum of prime factors
- 81
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 13 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,240 = [716; (2, 2, 4, 1, 3, 1, 3, 1, 4, 2, 2, 1432)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand two hundred forty
- Ordinal
- 513240th
- Binary
- 1111101010011011000
- Octal
- 1752330
- Hexadecimal
- 0x7D4D8
- Base64
- B9TY
- One's complement
- 4,294,454,055 (32-bit)
- Scientific notation
- 5.1324 × 10⁵
- As a duration
- 513,240 s = 5 days, 22 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγσμʹ
- Chinese
- 五十一萬三千二百四十
- Chinese (financial)
- 伍拾壹萬參仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513240, here are decompositions:
- 37 + 513203 = 513240
- 67 + 513173 = 513240
- 71 + 513169 = 513240
- 73 + 513167 = 513240
- 83 + 513157 = 513240
- 103 + 513137 = 513240
- 109 + 513131 = 513240
- 131 + 513109 = 513240
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.216.
- Address
- 0.7.212.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.216
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 513,240 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 513240 first appears in π at position 515,581 of the decimal expansion (the 515,581ordinal-suffix:st 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°.