13532280 has 64 divisors (see below), whose sum is σ = 42370560. Its totient is φ = 3451008.

The previous prime is 13532251. The next prime is 13532291. The reversal of 13532280 is 8223531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13532280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (662040).

Almost surely, 2^13532280 is an apocalyptic number.

13532280 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 13532280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185280).

13532280 is an abundant number, since it is smaller than the sum of its proper divisors (28838280).

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

13532280 is a wasteful number, since it uses less digits than its factorization.

13532280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13532280 is about 3678.6247430256. The cubic root of 13532280 is about 238.2997893467.

The spelling of 13532280 in words is "thirteen million, five hundred thirty-two thousand, two hundred eighty".