13982010 has 64 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3166272.

The previous prime is 13981991. The next prime is 13982021. The reversal of 13982010 is 1028931.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28951 + ... + 29429.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^13982010 is an apocalyptic number.

13982010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

13982010 is an abundant number, since it is smaller than the sum of its proper divisors (24725190).

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

13982010 is a wasteful number, since it uses less digits than its factorization.

13982010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13982010 is about 3739.2525991166. The cubic root of 13982010 is about 240.9109477402.

The spelling of 13982010 in words is "thirteen million, nine hundred eighty-two thousand, ten".