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20788641 = 3219121571
BaseRepresentation
bin100111101001…
…1010110100001
31110010011122200
41033103112201
520310214031
62021323413
7341462166
oct117232641
943104580
1020788641
11108098a5
126b66569
1343cb393
142a9206d
151c598e6
hex13d35a1

20788641 has 12 divisors (see below), whose sum is σ = 31608720. Its totient is φ = 13129560.

The previous prime is 20788633. The next prime is 20788657. The reversal of 20788641 is 14688702.

20788641 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 8 + 641 = 666.

It is not a de Polignac number, because 20788641 - 23 = 20788633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20788596 and 20788605.

It is not an unprimeable number, because it can be changed into a prime (20788601) 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, 60615 + ... + 60956.

It is an arithmetic number, because the mean of its divisors is an integer number (2634060).

Almost surely, 220788641 is an apocalyptic number.

It is an amenable number.

20788641 is a deficient number, since it is larger than the sum of its proper divisors (10820079).

20788641 is a wasteful number, since it uses less digits than its factorization.

20788641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121596 (or 121593 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20788641 is about 4559.4562175768. The cubic root of 20788641 is about 274.9637020962.

The spelling of 20788641 in words is "twenty million, seven hundred eighty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 19 57 171 121571 364713 1094139 2309849 6929547 20788641