13742960 has 160 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 4055040.

The previous prime is 13742957. The next prime is 13743001. The reversal of 13742960 is 6924731.

13742960 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141632 + ... + 141728.

Almost surely, 2^13742960 is an apocalyptic number.

13742960 is a gapful number since it is divisible by the number (10) 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 13742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

13742960 is an abundant number, since it is smaller than the sum of its proper divisors (28254352).

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

13742960 is a wasteful number, since it uses less digits than its factorization.

13742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 13742960 is about 3707.1498486034. The cubic root of 13742960 is about 239.5300990904.

It can be divided in two parts, 1374 and 2960, that added together give a palindrome (4334).

The spelling of 13742960 in words is "thirteen million, seven hundred forty-two thousand, nine hundred sixty".