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205975513 = 4142111933
BaseRepresentation
bin11000100011011…
…10111111011001
3112100120122021201
430101232333121
5410212204023
632234434201
75050522462
oct1421567731
9470518251
10205975513
11a62a44a7
1258b92961
133389a103
141d4d9d69
1513139bad
hexc46efd9

205975513 has 8 divisors (see below), whose sum is σ = 211518216. Its totient is φ = 200457600.

The previous prime is 205975507. The next prime is 205975537. The reversal of 205975513 is 315579502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 683929 + 205291584 = 827^2 + 14328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205975513 - 29 = 205975001 is a prime.

It is a super-2 number, since 2×2059755132 = 84851823911226338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205955513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11295 + ... + 23227.

It is an arithmetic number, because the mean of its divisors is an integer number (26439777).

Almost surely, 2205975513 is an apocalyptic number.

It is an amenable number.

205975513 is a deficient number, since it is larger than the sum of its proper divisors (5542703).

205975513 is a wasteful number, since it uses less digits than its factorization.

205975513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12395.

The product of its (nonzero) digits is 47250, while the sum is 37.

The square root of 205975513 is about 14351.8470239896. The cubic root of 205975513 is about 590.5706563402.

The spelling of 205975513 in words is "two hundred five million, nine hundred seventy-five thousand, five hundred thirteen".

Divisors: 1 41 421 11933 17261 489253 5023793 205975513