13829010 has 64 divisors (see below), whose sum is σ = 36408960. Its totient is φ = 3340800.

The previous prime is 13828993. The next prime is 13829051. The reversal of 13829010 is 1092831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22710 + ... + 23310.

It is an arithmetic number, because the mean of its divisors is an integer number (568890).

Almost surely, 2^13829010 is an apocalyptic number.

13829010 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 13829010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204480).

13829010 is an abundant number, since it is smaller than the sum of its proper divisors (22579950).

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

13829010 is a wasteful number, since it uses less digits than its factorization.

13829010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683.

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

The square root of 13829010 is about 3718.7376890553. The cubic root of 13829010 is about 240.0289895538.

The spelling of 13829010 in words is "thirteen million, eight hundred twenty-nine thousand, ten".