13829100 has 72 divisors (see below), whose sum is σ = 41330688. Its totient is φ = 3566400.

The previous prime is 13829099. The next prime is 13829111. The reversal of 13829100 is 192831.

13829100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8557 + ... + 10043.

Almost surely, 2^13829100 is an apocalyptic number.

13829100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665344).

13829100 is an abundant number, since it is smaller than the sum of its proper divisors (27501588).

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

13829100 is a wasteful number, since it uses less digits than its factorization.

13829100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

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

The square root of 13829100 is about 3718.7497899160. The cubic root of 13829100 is about 240.0295102602.

The spelling of 13829100 in words is "thirteen million, eight hundred twenty-nine thousand, one hundred".