13424900 has 72 divisors (see below), whose sum is σ = 31638600. Its totient is φ = 4925440.

The previous prime is 13424899. The next prime is 13424903. The reversal of 13424900 is 942431.

It can be written as a sum of positive squares in 12 ways, for example, as 2979076 + 10445824 = 1726^2 + 3232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90026 + ... + 90174.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 2^13424900 is an apocalyptic number.

13424900 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 13424900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819300).

13424900 is an abundant number, since it is smaller than the sum of its proper divisors (18213700).

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

13424900 is a wasteful number, since it uses less digits than its factorization.

13424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13424900 is about 3664.0005458515. Note that the first 3 decimals coincide. The cubic root of 13424900 is about 237.6678038492.

The spelling of 13424900 in words is "thirteen million, four hundred twenty-four thousand, nine hundred".