513,408
513,408 is a composite number, even.
513,408 (five hundred thirteen thousand four hundred eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 7 × 191. Its proper divisors sum to 1,053,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D580.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 804,315
- Square (n²)
- 263,587,774,464
- Cube (n³)
- 135,328,072,112,013,312
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,566,720
- φ(n) — Euler's totient
- 145,920
- Sum of prime factors
- 215
Primality
Prime factorization: 2 7 × 3 × 7 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,408 = [716; (1, 1, 9, 1, 1, 11, 3, 7, 9, 1, 7, 1, 2, 8, 7, 1, 1, 89, 30, 2, 11, 1, 1, 4, …)]
Representations
- In words
- five hundred thirteen thousand four hundred eight
- Ordinal
- 513408th
- Binary
- 1111101010110000000
- Octal
- 1752600
- Hexadecimal
- 0x7D580
- Base64
- B9WA
- One's complement
- 4,294,453,887 (32-bit)
- Scientific notation
- 5.13408 × 10⁵
- As a duration
- 513,408 s = 5 days, 22 hours, 36 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγυηʹ
- Chinese
- 五十一萬三千四百零八
- Chinese (financial)
- 伍拾壹萬參仟肆佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513408, here are decompositions:
- 11 + 513397 = 513408
- 37 + 513371 = 513408
- 41 + 513367 = 513408
- 61 + 513347 = 513408
- 67 + 513341 = 513408
- 89 + 513319 = 513408
- 97 + 513311 = 513408
- 101 + 513307 = 513408
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.128.
- Address
- 0.7.213.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.128
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 513,408 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 513408 first appears in π at position 103,441 of the decimal expansion (the 103,441ordinal-suffix:st 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°.