513,400
513,400 is a composite number, even.
513,400 (five hundred thirteen thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 17 × 151. Its proper divisors sum to 758,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D578.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,315
- Square (n²)
- 263,579,560,000
- Cube (n³)
- 135,321,746,104,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,272,240
- φ(n) — Euler's totient
- 192,000
- Sum of prime factors
- 184
Primality
Prime factorization: 2 3 × 5 2 × 17 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,400 = [716; (1, 1, 12, 2, 2, 3, 1, 1, 3, 3, 1, 7, 1, 2, 2, 17, 3, 1, 3, 4, 5, 18, 1, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand four hundred
- Ordinal
- 513400th
- Binary
- 1111101010101111000
- Octal
- 1752570
- Hexadecimal
- 0x7D578
- Base64
- B9V4
- One's complement
- 4,294,453,895 (32-bit)
- Scientific notation
- 5.134 × 10⁵
- As a duration
- 513,400 s = 5 days, 22 hours, 36 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵φιγυʹ
- Chinese
- 五十一萬三千四百
- Chinese (financial)
- 伍拾壹萬參仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513400, here are decompositions:
- 3 + 513397 = 513400
- 29 + 513371 = 513400
- 47 + 513353 = 513400
- 53 + 513347 = 513400
- 59 + 513341 = 513400
- 89 + 513311 = 513400
- 131 + 513269 = 513400
- 197 + 513203 = 513400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.120.
- Address
- 0.7.213.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.120
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 513,400 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 513400 first appears in π at position 737,005 of the decimal expansion (the 737,005ordinal-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°.