13382980 has 24 divisors (see below), whose sum is σ = 30266712. Its totient is φ = 4941312.

The previous prime is 13382969. The next prime is 13382983. The reversal of 13382980 is 8928331.

13382980 = 31² + 32² + ... + 342².

It can be written as a sum of positive squares in 4 ways, for example, as 75076 + 13307904 = 274^2 + 3648^2 .

It is not an unprimeable number, because it can be changed into a prime (13382983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25477 + ... + 25996.

It is an arithmetic number, because the mean of its divisors is an integer number (1261113).

Almost surely, 2^13382980 is an apocalyptic number.

13382980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13382980 is an abundant number, since it is smaller than the sum of its proper divisors (16883732).

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

13382980 is a wasteful number, since it uses less digits than its factorization.

13382980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51495 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 13382980 is about 3658.2755500372. The cubic root of 13382980 is about 237.4201689219.

The spelling of 13382980 in words is "thirteen million, three hundred eighty-two thousand, nine hundred eighty".