513,380
513,380 is a composite number, even.
513,380 (five hundred thirteen thousand three hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 19 × 193. Its proper divisors sum to 790,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D564.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 83,315
- Square (n²)
- 263,559,024,400
- Cube (n³)
- 135,305,931,946,472,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,303,680
- φ(n) — Euler's totient
- 165,888
- Sum of prime factors
- 228
Primality
Prime factorization: 2 2 × 5 × 7 × 19 × 193
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,380 = [716; (1, 1, 45, 1, 2, 1, 1, 1, 5, 1, 3, 5, 2, 1, 23, 1, 1, 1, 1, 21, 1, 3, 1, 2, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand three hundred eighty
- Ordinal
- 513380th
- Binary
- 1111101010101100100
- Octal
- 1752544
- Hexadecimal
- 0x7D564
- Base64
- B9Vk
- One's complement
- 4,294,453,915 (32-bit)
- Scientific notation
- 5.1338 × 10⁵
- As a duration
- 513,380 s = 5 days, 22 hours, 36 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγτπʹ
- Chinese
- 五十一萬三千三百八十
- Chinese (financial)
- 伍拾壹萬參仟參佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513380, here are decompositions:
- 13 + 513367 = 513380
- 61 + 513319 = 513380
- 67 + 513313 = 513380
- 73 + 513307 = 513380
- 97 + 513283 = 513380
- 103 + 513277 = 513380
- 211 + 513169 = 513380
- 223 + 513157 = 513380
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.100.
- Address
- 0.7.213.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.100
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 513,380 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 513380 first appears in π at position 24,142 of the decimal expansion (the 24,142ordinal-suffix:nd 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°.