513,820
513,820 is a composite number, even.
513,820 (five hundred thirteen thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 1,117. Its proper divisors sum to 613,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D71C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 28,315
- Square (n²)
- 264,010,992,400
- Cube (n³)
- 135,654,128,114,968,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 1,126,944
- φ(n) — Euler's totient
- 196,416
- Sum of prime factors
- 1,149
Primality
Prime factorization: 2 2 × 5 × 23 × 1117
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,820 = [716; (1, 4, 3, 34, 1, 1, 1, 8, 12, 1, 4, 358, 4, 1, 12, 8, 1, 1, 1, 34, 3, 4, 1, 1432)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand eight hundred twenty
- Ordinal
- 513820th
- Binary
- 1111101011100011100
- Octal
- 1753434
- Hexadecimal
- 0x7D71C
- Base64
- B9cc
- One's complement
- 4,294,453,475 (32-bit)
- Scientific notation
- 5.1382 × 10⁵
- As a duration
- 513,820 s = 5 days, 22 hours, 43 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φιγωκʹ
- Chinese
- 五十一萬三千八百二十
- Chinese (financial)
- 伍拾壹萬參仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513820, here are decompositions:
- 53 + 513767 = 513820
- 59 + 513761 = 513820
- 71 + 513749 = 513820
- 89 + 513731 = 513820
- 101 + 513719 = 513820
- 137 + 513683 = 513820
- 179 + 513641 = 513820
- 227 + 513593 = 513820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.28.
- Address
- 0.7.215.28
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.215.28
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 513,820 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 513820 first appears in π at position 203,620 of the decimal expansion (the 203,620ordinal-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°.