13742904 has 64 divisors (see below), whose sum is σ = 39571200. Its totient is φ = 3896064.

The previous prime is 13742903. The next prime is 13742921. The reversal of 13742904 is 40924731.

It is a happy number.

13742904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29844 + ... + 30300.

It is an arithmetic number, because the mean of its divisors is an integer number (618300).

Almost surely, 2^13742904 is an apocalyptic number.

13742904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13742904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785600).

13742904 is an abundant number, since it is smaller than the sum of its proper divisors (25828296).

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

13742904 is a wasteful number, since it uses less digits than its factorization.

13742904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13742904 is about 3707.1422956234. The cubic root of 13742904 is about 239.5297737431.

It can be divided in two parts, 1374 and 2904, that added together give a triangular number (4278 = T₉₂).

The spelling of 13742904 in words is "thirteen million, seven hundred forty-two thousand, nine hundred four".