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20304768 = 2731121923
BaseRepresentation
bin100110101110…
…1001110000000
31102012120220110
41031131032000
520144223033
62003111320
7334405401
oct115351600
942176813
1020304768
1110509300
126972540
13428c073
1429a79a8
151bb1363
hex135d380

20304768 has 192 divisors, whose sum is σ = 65116800. Its totient is φ = 5575680.

The previous prime is 20304763. The next prime is 20304769. The reversal of 20304768 is 86740302.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20304763) 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 23 ways as a sum of consecutive naturals, for example, 882805 + ... + 882827.

It is an arithmetic number, because the mean of its divisors is an integer number (339150).

Almost surely, 220304768 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 20304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558400).

20304768 is an abundant number, since it is smaller than the sum of its proper divisors (44812032).

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

20304768 is a wasteful number, since it uses less digits than its factorization.

20304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20304768 is about 4506.0812243012. The cubic root of 20304768 is about 272.8135962700.

The spelling of 20304768 in words is "twenty million, three hundred four thousand, seven hundred sixty-eight".