13489200 has 120 divisors (see below), whose sum is σ = 48050000. Its totient is φ = 3594240.

The previous prime is 13489193. The next prime is 13489213. The reversal of 13489200 is 298431.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10176 + ... + 11424.

Almost surely, 2^13489200 is an apocalyptic number.

13489200 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 13489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025000).

13489200 is an abundant number, since it is smaller than the sum of its proper divisors (34560800).

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

13489200 is a wasteful number, since it uses less digits than its factorization.

13489200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

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

The square root of 13489200 is about 3672.7646262727. The cubic root of 13489200 is about 238.0466448133.

It can be divided in two parts, 13489 and 200, that added together give a square (13689 = 117²).

The spelling of 13489200 in words is "thirteen million, four hundred eighty-nine thousand, two hundred".