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20793101 = 72735813
BaseRepresentation
bin100111101010…
…0011100001101
31110010101202212
41033110130031
520310334401
62021400205
7341511200
oct117243415
943111685
1020793101
111081218a
126b69065
134400414
142a93937
151c5adbb
hex13d470d

20793101 has 12 divisors (see below), whose sum is σ = 24523452. Its totient is φ = 17575488.

The previous prime is 20793083. The next prime is 20793103. The reversal of 20793101 is 10139702.

It can be written as a sum of positive squares in 2 ways, for example, as 13147876 + 7645225 = 3626^2 + 2765^2 .

It is not a de Polignac number, because 20793101 - 222 = 16598797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20793103) 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, 671 + ... + 6483.

It is an arithmetic number, because the mean of its divisors is an integer number (2043621).

Almost surely, 220793101 is an apocalyptic number.

It is an amenable number.

20793101 is a deficient number, since it is larger than the sum of its proper divisors (3730351).

20793101 is an equidigital number, since it uses as much as digits as its factorization.

20793101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 20793101 is about 4559.9452847595. The cubic root of 20793101 is about 274.9833642829.

The spelling of 20793101 in words is "twenty million, seven hundred ninety-three thousand, one hundred one".

Divisors: 1 7 49 73 511 3577 5813 40691 284837 424349 2970443 20793101