13029642 has 48 divisors (see below), whose sum is σ = 29601000. Its totient is φ = 4136832.

The previous prime is 13029637. The next prime is 13029683. The reversal of 13029642 is 24692031.

13029642 is a `hidden beast` number, since 13 + 0 + 2 + 9 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13024881 + 4761 = 3609^2 + 69^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56784 + ... + 57012.

Almost surely, 2^13029642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13029642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800500).

13029642 is an abundant number, since it is smaller than the sum of its proper divisors (16571358).

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

13029642 is a wasteful number, since it uses less digits than its factorization.

13029642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13029642 is about 3609.6595407323. The cubic root of 13029642 is about 235.3120466069.

The spelling of 13029642 in words is "thirteen million, twenty-nine thousand, six hundred forty-two".