13282400 has 36 divisors (see below), whose sum is σ = 32427612. Its totient is φ = 5312640.

The previous prime is 13282393. The next prime is 13282403. The reversal of 13282400 is 428231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13282403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7502 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (900767).

Almost surely, 2^13282400 is an apocalyptic number.

13282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13282400 is an abundant number, since it is smaller than the sum of its proper divisors (19145212).

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

13282400 is a wasteful number, since it uses less digits than its factorization.

13282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16623 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13282400 is about 3644.5027095613. The cubic root of 13282400 is about 236.8238942896.

The spelling of 13282400 in words is "thirteen million, two hundred eighty-two thousand, four hundred".