13289400 has 192 divisors, whose sum is σ = 48211200. Its totient is φ = 3358080.

The previous prime is 13289387. The next prime is 13289447. The reversal of 13289400 is 498231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124147 + ... + 124253.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 2^13289400 is an apocalyptic number.

13289400 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 13289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13289400 is an abundant number, since it is smaller than the sum of its proper divisors (34921800).

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

13289400 is a wasteful number, since it uses less digits than its factorization.

13289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13289400 is about 3645.4629335655. The cubic root of 13289400 is about 236.8654900887.

It can be divided in two parts, 13289 and 400, that added together give a square (13689 = 117²).

The spelling of 13289400 in words is "thirteen million, two hundred eighty-nine thousand, four hundred".