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516800323 = 131719123077
BaseRepresentation
bin11110110011011…
…011111101000011
31100000110011202201
4132303123331003
52024300102243
6123140454031
715543505324
oct3663337503
91300404681
10516800323
112457a1806
121250aa317
13830b8010
144c8ca44b
153058604d
hex1ecdbf43

516800323 has 16 divisors (see below), whose sum is σ = 620313120. Its totient is φ = 425350656.

The previous prime is 516800311. The next prime is 516800327. The reversal of 516800323 is 323008615.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-516800323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 516800291 and 516800300.

It is not an unprimeable number, because it can be changed into a prime (516800327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57340 + ... + 65737.

It is an arithmetic number, because the mean of its divisors is an integer number (38769570).

Almost surely, 2516800323 is an apocalyptic number.

516800323 is a deficient number, since it is larger than the sum of its proper divisors (103512797).

516800323 is a wasteful number, since it uses less digits than its factorization.

516800323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123126.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 516800323 is about 22733.2426855475. The cubic root of 516800323 is about 802.4923951234.

Adding to 516800323 its reverse (323008615), we get a palindrome (839808938).

It can be divided in two parts, 516800 and 323, that multiplied together give a square (166926400 = 129202).

The spelling of 516800323 in words is "five hundred sixteen million, eight hundred thousand, three hundred twenty-three".

Divisors: 1 13 17 19 221 247 323 4199 123077 1600001 2092309 2338463 27200017 30400019 39753871 516800323