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20693936 = 2429103433
BaseRepresentation
bin100111011110…
…0001110110000
31102221100202002
41032330032300
520244201221
62015313132
7340616114
oct116741660
942840662
1020693936
111075472a
126b1b7a8
134397243
142a69744
151c3b80b
hex13bc3b0

20693936 has 40 divisors (see below), whose sum is σ = 41976480. Its totient is φ = 9870336.

The previous prime is 20693929. The next prime is 20693941. The reversal of 20693936 is 63939602.

It is a self number, because there is not a number n which added to its sum of digits gives 20693936.

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 7 ways as a sum of consecutive naturals, for example, 47576 + ... + 48008.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 220693936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20693936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988240).

20693936 is an abundant number, since it is smaller than the sum of its proper divisors (21282544).

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

20693936 is a wasteful number, since it uses less digits than its factorization.

20693936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 38.

The square root of 20693936 is about 4549.0588037527. The cubic root of 20693936 is about 274.5455237077.

The spelling of 20693936 in words is "twenty million, six hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 103 116 206 232 412 433 464 824 866 1648 1732 2987 3464 5974 6928 11948 12557 23896 25114 44599 47792 50228 89198 100456 178396 200912 356792 713584 1293371 2586742 5173484 10346968 20693936