513,200
513,200 is a composite number, even.
513,200 (five hundred thirteen thousand two hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 1,283. Its proper divisors sum to 720,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D4B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 2,315
- Square (n²)
- 263,374,240,000
- Cube (n³)
- 135,163,659,968,000,000
- Divisor count
- 30
- σ(n) — sum of divisors
- 1,233,924
- φ(n) — Euler's totient
- 205,120
- Sum of prime factors
- 1,301
Primality
Prime factorization: 2 4 × 5 2 × 1283
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,200 = [716; (2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 2, 1, 3, 1, 1, 1, 11, 1, 2, 2, 4, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand two hundred
- Ordinal
- 513200th
- Binary
- 1111101010010110000
- Octal
- 1752260
- Hexadecimal
- 0x7D4B0
- Base64
- B9Sw
- One's complement
- 4,294,454,095 (32-bit)
- Scientific notation
- 5.132 × 10⁵
- As a duration
- 513,200 s = 5 days, 22 hours, 33 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵φιγσʹ
- Chinese
- 五十一萬三千二百
- Chinese (financial)
- 伍拾壹萬參仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513200, here are decompositions:
- 31 + 513169 = 513200
- 43 + 513157 = 513200
- 97 + 513103 = 513200
- 199 + 513001 = 513200
- 211 + 512989 = 513200
- 223 + 512977 = 513200
- 241 + 512959 = 513200
- 271 + 512929 = 513200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.176.
- Address
- 0.7.212.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.176
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 513,200 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 513200 first appears in π at position 597 of the decimal expansion (the 597ordinal-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°.