513,390
513,390 is a composite number, even.
513,390 (five hundred thirteen thousand three hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 109 × 157. Its proper divisors sum to 737,970, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D56E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 93,315
- Square (n²)
- 263,569,292,100
- Cube (n³)
- 135,313,838,871,219,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,251,360
- φ(n) — Euler's totient
- 134,784
- Sum of prime factors
- 276
Primality
Prime factorization: 2 × 3 × 5 × 109 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,390 = [716; (1, 1, 19, 1, 2, 6, 2, 1, 3, 1, 12, 4, 6, 1, 2, 2, 6, 4, 5, 1, 3, 11, 1, 1, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand three hundred ninety
- Ordinal
- 513390th
- Binary
- 1111101010101101110
- Octal
- 1752556
- Hexadecimal
- 0x7D56E
- Base64
- B9Vu
- One's complement
- 4,294,453,905 (32-bit)
- Scientific notation
- 5.1339 × 10⁵
- As a duration
- 513,390 s = 5 days, 22 hours, 36 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγτϟʹ
- Chinese
- 五十一萬三千三百九十
- Chinese (financial)
- 伍拾壹萬參仟參佰玖拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513390, here are decompositions:
- 19 + 513371 = 513390
- 23 + 513367 = 513390
- 37 + 513353 = 513390
- 43 + 513347 = 513390
- 71 + 513319 = 513390
- 79 + 513311 = 513390
- 83 + 513307 = 513390
- 107 + 513283 = 513390
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.110.
- Address
- 0.7.213.110
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.110
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 513,390 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 513390 first appears in π at position 655,982 of the decimal expansion (the 655,982ordinal-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°.