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20847924 = 2232737933
BaseRepresentation
bin100111110000…
…1110100110100
31110020011222100
41033201310310
520314113144
62022502100
7342130056
oct117416464
943204870
1020847924
111084a399
126b94930
13441c366
142aa98d6
151c6c269
hex13e1d34

20847924 has 36 divisors (see below), whose sum is σ = 53427556. Its totient is φ = 6853248.

The previous prime is 20847923. The next prime is 20847941. The reversal of 20847924 is 42974802.

It can be written as a sum of positive squares in 2 ways, for example, as 8820900 + 12027024 = 2970^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20847923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1339 + ... + 6594.

Almost surely, 220847924 is an apocalyptic number.

It is an amenable number.

20847924 is an abundant number, since it is smaller than the sum of its proper divisors (32579632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20847924 is a wasteful number, since it uses less digits than its factorization.

20847924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20847924 is about 4565.9526935789. The cubic root of 20847924 is about 275.2248255108.

The spelling of 20847924 in words is "twenty million, eight hundred forty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 7933 15866 23799 31732 47598 71397 95196 142794 285588 579109 1158218 1737327 2316436 3474654 5211981 6949308 10423962 20847924