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2085633 = 321121067
BaseRepresentation
bin111111101001100000001
310220221221200
413331030001
51013220013
6112411413
723504364
oct7751401
93827850
102085633
1111a4a70
12846b69
13580404
143c40db
152b2e73
hex1fd301

2085633 has 12 divisors (see below), whose sum is σ = 3286608. Its totient is φ = 1263960.

The previous prime is 2085623. The next prime is 2085659. The reversal of 2085633 is 3365802.

2085633 is a `hidden beast` number, since 20 + 8 + 5 + 633 = 666.

It is not a de Polignac number, because 2085633 - 26 = 2085569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2085597 and 2085606.

It is not an unprimeable number, because it can be changed into a prime (2085623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10435 + ... + 10632.

It is an arithmetic number, because the mean of its divisors is an integer number (273884).

22085633 is an apocalyptic number.

It is an amenable number.

2085633 is a deficient number, since it is larger than the sum of its proper divisors (1200975).

2085633 is a wasteful number, since it uses less digits than its factorization.

2085633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21084 (or 21081 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2085633 is about 1444.1720811593. The cubic root of 2085633 is about 127.7652149520.

The spelling of 2085633 in words is "two million, eighty-five thousand, six hundred thirty-three".

Divisors: 1 3 9 11 33 99 21067 63201 189603 231737 695211 2085633