13283400 has 144 divisors (see below), whose sum is σ = 44930160. Its totient is φ = 3244800.

The previous prime is 13283399. The next prime is 13283401. The reversal of 13283400 is 438231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13283399) and next prime (13283401).

It is not an unprimeable number, because it can be changed into a prime (13283401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101335 + ... + 101465.

It is an arithmetic number, because the mean of its divisors is an integer number (312015).

Almost surely, 2^13283400 is an apocalyptic number.

13283400 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 13283400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465080).

13283400 is an abundant number, since it is smaller than the sum of its proper divisors (31646760).

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

13283400 is a wasteful number, since it uses less digits than its factorization.

13283400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13283400 is about 3644.6398999078. The cubic root of 13283400 is about 236.8298374412.

The spelling of 13283400 in words is "thirteen million, two hundred eighty-three thousand, four hundred".