13724130 has 32 divisors (see below), whose sum is σ = 37643904. Its totient is φ = 3136896.

The previous prime is 13724107. The next prime is 13724131. The reversal of 13724130 is 3142731.

13724130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13724097 and 13724106.

It is not an unprimeable number, because it can be changed into a prime (13724131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32467 + ... + 32886.

It is an arithmetic number, because the mean of its divisors is an integer number (1176372).

Almost surely, 2^13724130 is an apocalyptic number.

13724130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13724130 is an abundant number, since it is smaller than the sum of its proper divisors (23919774).

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

13724130 is a wasteful number, since it uses less digits than its factorization.

13724130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65370.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13724130 is about 3704.6092911399. The cubic root of 13724130 is about 239.4206512155.

Adding to 13724130 its reverse (3142731), we get a palindrome (16866861).

The spelling of 13724130 in words is "thirteen million, seven hundred twenty-four thousand, one hundred thirty".