513,968
513,968 is a composite number, even.
513,968 (five hundred thirteen thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 13 × 353. Its proper divisors sum to 715,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D7B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 32
- Digit product
- 6,480
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 869,315
- Square (n²)
- 264,163,105,024
- Cube (n³)
- 135,771,382,762,975,232
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,229,088
- φ(n) — Euler's totient
- 202,752
- Sum of prime factors
- 381
Primality
Prime factorization: 2 4 × 7 × 13 × 353
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,968 = [716; (1, 10, 1, 5, 1, 2, 4, 3, 1, 5, 2, 1, 1, 3, 2, 11, 1, 11, 1, 3, 3, 89, 3, 3, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand nine hundred sixty-eight
- Ordinal
- 513968th
- Binary
- 1111101011110110000
- Octal
- 1753660
- Hexadecimal
- 0x7D7B0
- Base64
- B9ew
- One's complement
- 4,294,453,327 (32-bit)
- Scientific notation
- 5.13968 × 10⁵
- As a duration
- 513,968 s = 5 days, 22 hours, 46 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγϡξηʹ
- Chinese
- 五十一萬三千九百六十八
- Chinese (financial)
- 伍拾壹萬參仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513968, here are decompositions:
- 31 + 513937 = 513968
- 97 + 513871 = 513968
- 127 + 513841 = 513968
- 139 + 513829 = 513968
- 199 + 513769 = 513968
- 229 + 513739 = 513968
- 241 + 513727 = 513968
- 271 + 513697 = 513968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.176.
- Address
- 0.7.215.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.215.176
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 513,968 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 513968 first appears in π at position 517,835 of the decimal expansion (the 517,835ordinal-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°.