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3000205 = 513101457
BaseRepresentation
bin1011011100011110001101
312122102111201
423130132031
51232001310
6144145501
734333645
oct13343615
95572451
103000205
11176a10a
121008291
13810790
14581525
153e3e3a
hex2dc78d

3000205 has 16 divisors (see below), whose sum is σ = 3924144. Its totient is φ = 2188800.

The previous prime is 3000199. The next prime is 3000223. The reversal of 3000205 is 5020003.

It can be written as a sum of positive squares in 8 ways, for example, as 157609 + 2842596 = 397^2 + 1686^2 .

It is not a de Polignac number, because 3000205 - 27 = 3000077 is a prime.

It is an Ulam number.

It is a Duffinian number.

3000205 is a modest number, since divided by 205 gives 30 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3000191 and 3000200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6337 + ... + 6793.

It is an arithmetic number, because the mean of its divisors is an integer number (245259).

Almost surely, 23000205 is an apocalyptic number.

It is an amenable number.

3000205 is a deficient number, since it is larger than the sum of its proper divisors (923939).

3000205 is a wasteful number, since it uses less digits than its factorization.

3000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 3000205 is about 1732.1099849605. The cubic root of 3000205 is about 144.2282420799.

Adding to 3000205 its reverse (5020003), we get a palindrome (8020208).

The spelling of 3000205 in words is "three million, two hundred five", and thus it is an aban number.

Divisors: 1 5 13 65 101 457 505 1313 2285 5941 6565 29705 46157 230785 600041 3000205