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13327641 = 321977517
BaseRepresentation
bin110010110101…
…110100011001
3221002010002100
4302311310121
511402441031
61153354013
7221166045
oct62656431
927063070
1013327641
117583288
124568909
1329b83a2
141aad025
151283de6
hexcb5d19

13327641 has 12 divisors (see below), whose sum is σ = 19351332. Its totient is φ = 8838816.

The previous prime is 13327637. The next prime is 13327651. The reversal of 13327641 is 14672331.

13327641 is a `hidden beast` number, since 13 + 3 + 2 + 7 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12809241 + 518400 = 3579^2 + 720^2 .

It is not a de Polignac number, because 13327641 - 22 = 13327637 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13327621) 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, 1986 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (1612611).

Almost surely, 213327641 is an apocalyptic number.

It is an amenable number.

13327641 is a deficient number, since it is larger than the sum of its proper divisors (6023691).

13327641 is a wasteful number, since it uses less digits than its factorization.

13327641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7717 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13327641 is about 3650.7041786483. The cubic root of 13327641 is about 237.0924704588.

Adding to 13327641 its reverse (14672331), we get a palindrome (27999972).

The spelling of 13327641 in words is "thirteen million, three hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 3 9 197 591 1773 7517 22551 67653 1480849 4442547 13327641