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20032641 = 32412332
BaseRepresentation
bin100110001101…
…0110010000001
31101200202121200
41030122302001
520112021031
61553211413
7332163126
oct114326201
941622550
1020032641
1110342902
126860b69
1341c5245
14293674d
151b5a8e6
hex131ac81

20032641 has 18 divisors (see below), whose sum is σ = 29769558. Its totient is φ = 12973440.

The previous prime is 20032637. The next prime is 20032667. The reversal of 20032641 is 14623002.

It is a happy number.

20032641 is a `hidden beast` number, since 20 + 0 + 3 + 2 + 641 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 848241 + 19184400 = 921^2 + 4380^2 .

It is not a de Polignac number, because 20032641 - 22 = 20032637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85861 + ... + 86093.

Almost surely, 220032641 is an apocalyptic number.

It is an amenable number.

20032641 is a deficient number, since it is larger than the sum of its proper divisors (9736917).

20032641 is an equidigital number, since it uses as much as digits as its factorization.

20032641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20032641 is about 4475.7838419656. The cubic root of 20032641 is about 271.5893502403.

Adding to 20032641 its reverse (14623002), we get a palindrome (34655643).

The spelling of 20032641 in words is "twenty million, thirty-two thousand, six hundred forty-one".

Divisors: 1 3 9 41 123 233 369 699 2097 9553 28659 54289 85977 162867 488601 2225849 6677547 20032641