13193280 has 140 divisors (see below), whose sum is σ = 47023020. Its totient is φ = 3511296.

The previous prime is 13193269. The next prime is 13193293. The reversal of 13193280 is 8239131.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 5308416 = 2808^2 + 2304^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25666 + ... + 26174.

Almost surely, 2^13193280 is an apocalyptic number.

13193280 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 13193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23511510).

13193280 is an abundant number, since it is smaller than the sum of its proper divisors (33829740).

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

13193280 is an equidigital number, since it uses as much as digits as its factorization.

13193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13193280 is about 3632.2554976213. The cubic root of 13193280 is about 236.2930382665.

The spelling of 13193280 in words is "thirteen million, one hundred ninety-three thousand, two hundred eighty".