13204140 has 72 divisors (see below), whose sum is σ = 38369520. Its totient is φ = 3392640.

The previous prime is 13204123. The next prime is 13204157. The reversal of 13204140 is 4140231.

It is an interprime number because it is at equal distance from previous prime (13204123) and next prime (13204157).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 57546 + ... + 57774.

It is an arithmetic number, because the mean of its divisors is an integer number (532910).

Almost surely, 2^13204140 is an apocalyptic number.

13204140 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 13204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184760).

13204140 is an abundant number, since it is smaller than the sum of its proper divisors (25165380).

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

13204140 is a wasteful number, since it uses less digits than its factorization.

13204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13204140 is about 3633.7501289990. The cubic root of 13204140 is about 236.3578550675.

Adding to 13204140 its reverse (4140231), we get a palindrome (17344371).

It can be divided in two parts, 1320 and 4140, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 13204140 in words is "thirteen million, two hundred four thousand, one hundred forty".