13985370 has 96 divisors (see below), whose sum is σ = 42232320. Its totient is φ = 3144960.

The previous prime is 13985353. The next prime is 13985381. The reversal of 13985370 is 7358931.

13985370 = 305² + 306² + ... + 412².

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 49630 + ... + 49910.

It is an arithmetic number, because the mean of its divisors is an integer number (439920).

Almost surely, 2^13985370 is an apocalyptic number.

13985370 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 13985370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21116160).

13985370 is an abundant number, since it is smaller than the sum of its proper divisors (28246950).

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

13985370 is a wasteful number, since it uses less digits than its factorization.

13985370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13985370 is about 3739.7018597744. The cubic root of 13985370 is about 240.9302438679.

The spelling of 13985370 in words is "thirteen million, nine hundred eighty-five thousand, three hundred seventy".