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13255200 = 2532527263

13255200 has 216 divisors, whose sum is σ = 53621568. Its totient is φ = 3018240.

The previous prime is 13255171. The next prime is 13255201. The reversal of 13255200 is 255231.

13255200 = T81 + T82 + ... + T430.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13255201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50269 + ... + 50531.

It is an arithmetic number, because the mean of its divisors is an integer number (248248).

Almost surely, 213255200 is an apocalyptic number.

13255200 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 13255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

13255200 is an abundant number, since it is smaller than the sum of its proper divisors (40366368).

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

13255200 is a wasteful number, since it uses less digits than its factorization.

13255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13255200 is about 3640.7691495067. The cubic root of 13255200 is about 236.6621260342.

The spelling of 13255200 in words is "thirteen million, two hundred fifty-five thousand, two hundred".