13007742 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3484800.

The previous prime is 13007741. The next prime is 13007749. The reversal of 13007742 is 24770031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317242 + ... + 317282.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^13007742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13007742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

13007742 is an abundant number, since it is smaller than the sum of its proper divisors (19167618).

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

13007742 is a wasteful number, since it uses less digits than its factorization.

13007742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13007742 is about 3606.6247378955. The cubic root of 13007742 is about 235.1801365172.

Adding to 13007742 its reverse (24770031), we get a palindrome (37777773).

The spelling of 13007742 in words is "thirteen million, seven thousand, seven hundred forty-two".