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11642013 = 323734961
BaseRepresentation
bin101100011010…
…010010011101
3210220110211200
4230122102131
510440021023
61053310113
7200645505
oct54322235
923813750
1011642013
1166318a9
123a95339
132548086
141790a05
15104e743
hexb1a49d

11642013 has 12 divisors (see below), whose sum is σ = 17271228. Its totient is φ = 7551360.

The previous prime is 11642009. The next prime is 11642017. The reversal of 11642013 is 31024611.

It is a happy number.

11642013 is a `hidden beast` number, since 11 + 642 + 0 + 13 = 666.

11642013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11642009) and next prime (11642017).

It can be written as a sum of positive squares in 2 ways, for example, as 7851204 + 3790809 = 2802^2 + 1947^2 .

It is not a de Polignac number, because 11642013 - 22 = 11642009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17148 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (1439269).

Almost surely, 211642013 is an apocalyptic number.

It is an amenable number.

11642013 is a deficient number, since it is larger than the sum of its proper divisors (5629215).

11642013 is a wasteful number, since it uses less digits than its factorization.

11642013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35004 (or 35001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11642013 is about 3412.0394194675. The cubic root of 11642013 is about 226.6431999447.

Adding to 11642013 its reverse (31024611), we get a palindrome (42666624).

The spelling of 11642013 in words is "eleven million, six hundred forty-two thousand, thirteen".

Divisors: 1 3 9 37 111 333 34961 104883 314649 1293557 3880671 11642013