513,128
513,128 is a composite number, even.
513,128 (five hundred thirteen thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 7³ × 11 × 17. Its proper divisors sum to 782,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D468.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 240
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 821,315
- Square (n²)
- 263,300,344,384
- Cube (n³)
- 135,106,779,113,073,152
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,296,000
- φ(n) — Euler's totient
- 188,160
- Sum of prime factors
- 55
Primality
Prime factorization: 2 3 × 7 3 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,128 = [716; (3, 28, 1, 9, 2, 28, 1, 3, 5, 29, 21, 29, 5, 3, 1, 28, 2, 9, 1, 28, 3, 1432)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand one hundred twenty-eight
- Ordinal
- 513128th
- Binary
- 1111101010001101000
- Octal
- 1752150
- Hexadecimal
- 0x7D468
- Base64
- B9Ro
- One's complement
- 4,294,454,167 (32-bit)
- Scientific notation
- 5.13128 × 10⁵
- As a duration
- 513,128 s = 5 days, 22 hours, 32 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγρκηʹ
- Chinese
- 五十一萬三千一百二十八
- Chinese (financial)
- 伍拾壹萬參仟壹佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513128, here are decompositions:
- 19 + 513109 = 513128
- 61 + 513067 = 513128
- 97 + 513031 = 513128
- 127 + 513001 = 513128
- 139 + 512989 = 513128
- 151 + 512977 = 513128
- 199 + 512929 = 513128
- 211 + 512917 = 513128
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.104.
- Address
- 0.7.212.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.104
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 513,128 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.