513,920
513,920 is a composite number, even.
513,920 (five hundred thirteen thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 11 × 73. Its proper divisors sum to 844,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D780.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 29,315
- Square (n²)
- 264,113,766,400
- Cube (n³)
- 135,733,346,828,288,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,358,640
- φ(n) — Euler's totient
- 184,320
- Sum of prime factors
- 103
Primality
Prime factorization: 2 7 × 5 × 11 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,920 = [716; (1, 7, 2, 15, 1, 1, 1, 3, 2, 1, 2, 1, 1, 2, 1, 357, 1, 2, 1, 1, 2, 1, 2, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand nine hundred twenty
- Ordinal
- 513920th
- Binary
- 1111101011110000000
- Octal
- 1753600
- Hexadecimal
- 0x7D780
- Base64
- B9eA
- One's complement
- 4,294,453,375 (32-bit)
- Scientific notation
- 5.1392 × 10⁵
- As a duration
- 513,920 s = 5 days, 22 hours, 45 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φιγϡκʹ
- Chinese
- 五十一萬三千九百二十
- Chinese (financial)
- 伍拾壹萬參仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513920, here are decompositions:
- 3 + 513917 = 513920
- 79 + 513841 = 513920
- 139 + 513781 = 513920
- 151 + 513769 = 513920
- 181 + 513739 = 513920
- 193 + 513727 = 513920
- 223 + 513697 = 513920
- 229 + 513691 = 513920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.128.
- Address
- 0.7.215.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.215.128
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 513,920 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 513920 first appears in π at position 855,647 of the decimal expansion (the 855,647ordinal-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°.