13782040 has 32 divisors (see below), whose sum is σ = 31265280. Its totient is φ = 5467392.

The previous prime is 13782031. The next prime is 13782061. The reversal of 13782040 is 4028731.

It is a junction number, because it is equal to n+sod(n) for n = 13781996 and 13782014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3724 + ... + 6436.

It is an arithmetic number, because the mean of its divisors is an integer number (977040).

Almost surely, 2^13782040 is an apocalyptic number.

13782040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782040 is an abundant number, since it is smaller than the sum of its proper divisors (17483240).

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

13782040 is a wasteful number, since it uses less digits than its factorization.

13782040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13782040 is about 3712.4170024392. The cubic root of 13782040 is about 239.7569298294.

The spelling of 13782040 in words is "thirteen million, seven hundred eighty-two thousand, forty".