13009248 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3701376.

The previous prime is 13009223. The next prime is 13009253. The reversal of 13009248 is 84290031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 54313 + ... + 54551.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^13009248 is an apocalyptic number.

13009248 is a gapful number since it is divisible by the number (18) 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 13009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13009248 is an abundant number, since it is smaller than the sum of its proper divisors (31020192).

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

13009248 is an equidigital number, since it uses as much as digits as its factorization.

13009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13009248 is about 3606.8335143170. The cubic root of 13009248 is about 235.1892123332.

Adding to 13009248 its reverse (84290031), we get a palindrome (97299279).

The spelling of 13009248 in words is "thirteen million, nine thousand, two hundred forty-eight".