13782390 has 32 divisors (see below), whose sum is σ = 33185376. Its totient is φ = 3663360.

The previous prime is 13782371. The next prime is 13782397. The reversal of 13782390 is 9328731.

It is a super-2 number, since 2×13782390² = 379908548224200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782397) 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, 12460 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (1037043).

Almost surely, 2^13782390 is an apocalyptic number.

13782390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13782390 is an abundant number, since it is smaller than the sum of its proper divisors (19402986).

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

13782390 is a wasteful number, since it uses less digits than its factorization.

13782390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13782390 is about 3712.4641412410. The cubic root of 13782390 is about 239.7589593842.

The spelling of 13782390 in words is "thirteen million, seven hundred eighty-two thousand, three hundred ninety".