13740732 has 48 divisors (see below), whose sum is σ = 36395520. Its totient is φ = 4481136.

The previous prime is 13740703. The next prime is 13740739. The reversal of 13740732 is 23704731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13740696 and 13740705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3723 + ... + 6429.

It is an arithmetic number, because the mean of its divisors is an integer number (758240).

Almost surely, 2^13740732 is an apocalyptic number.

13740732 is a gapful number since it is divisible by the number (12) 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 13740732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197760).

13740732 is an abundant number, since it is smaller than the sum of its proper divisors (22654788).

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

13740732 is a wasteful number, since it uses less digits than its factorization.

13740732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13740732 is about 3706.8493360265. The cubic root of 13740732 is about 239.5171542346.

The spelling of 13740732 in words is "thirteen million, seven hundred forty thousand, seven hundred thirty-two".