513,020
513,020 is a composite number, even.
513,020 (five hundred thirteen thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 113 × 227. Its proper divisors sum to 578,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D3FC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 20,315
- Square (n²)
- 263,189,520,400
- Cube (n³)
- 135,021,487,755,608,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 1,091,664
- φ(n) — Euler's totient
- 202,496
- Sum of prime factors
- 349
Primality
Prime factorization: 2 2 × 5 × 113 × 227
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,020 = [716; (3, 1, 14, 3, 25, 3, 1, 13, 46, 7, 3, 2, 15, 3, 4, 1, 1, 7, 1, 12, 3, 1, 6, 29, …)]
Representations
- In words
- five hundred thirteen thousand twenty
- Ordinal
- 513020th
- Binary
- 1111101001111111100
- Octal
- 1751774
- Hexadecimal
- 0x7D3FC
- Base64
- B9P8
- One's complement
- 4,294,454,275 (32-bit)
- Scientific notation
- 5.1302 × 10⁵
- As a duration
- 513,020 s = 5 days, 22 hours, 30 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓎆
- Greek (Milesian)
- ͵φιγκʹ
- Chinese
- 五十一萬三千零二十
- Chinese (financial)
- 伍拾壹萬參仟零貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513020, here are decompositions:
- 3 + 513017 = 513020
- 7 + 513013 = 513020
- 19 + 513001 = 513020
- 31 + 512989 = 513020
- 43 + 512977 = 513020
- 61 + 512959 = 513020
- 103 + 512917 = 513020
- 199 + 512821 = 513020
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.211.252.
- Address
- 0.7.211.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.211.252
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 513,020 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 513020 first appears in π at position 605,053 of the decimal expansion (the 605,053ordinal-suffix:rd 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°.