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20824965 = 335722037
BaseRepresentation
bin100111101110…
…0001110000101
31110012000111000
41033130032011
520312344330
62022203513
7342003120
oct117341605
943160430
1020824965
1110834117
126b83599
134411a85
142aa13b7
151c65560
hex13dc385

20824965 has 32 divisors (see below), whose sum is σ = 42312960. Its totient is φ = 9519552.

The previous prime is 20824961. The next prime is 20824981. The reversal of 20824965 is 56942802.

It is a happy number.

It is not a de Polignac number, because 20824965 - 22 = 20824961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20824961) 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 31 ways as a sum of consecutive naturals, for example, 10074 + ... + 11963.

It is an arithmetic number, because the mean of its divisors is an integer number (1322280).

Almost surely, 220824965 is an apocalyptic number.

It is an amenable number.

20824965 is an abundant number, since it is smaller than the sum of its proper divisors (21487995).

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

20824965 is a wasteful number, since it uses less digits than its factorization.

20824965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22058 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20824965 is about 4563.4378488153. The cubic root of 20824965 is about 275.1237569700.

The spelling of 20824965 in words is "twenty million, eight hundred twenty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 22037 66111 110185 154259 198333 330555 462777 594999 771295 991665 1388331 2313885 2974995 4164993 6941655 20824965