13485300 has 72 divisors (see below), whose sum is σ = 39580800. Its totient is φ = 3544320.

The previous prime is 13485299. The next prime is 13485313. The reversal of 13485300 is 358431.

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 23 ways as a sum of consecutive naturals, for example, 23416 + ... + 23984.

Almost surely, 2^13485300 is an apocalyptic number.

13485300 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 13485300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

13485300 is an abundant number, since it is smaller than the sum of its proper divisors (26095500).

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

13485300 is a wasteful number, since it uses less digits than its factorization.

13485300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13485300 is about 3672.2336526970. The cubic root of 13485300 is about 238.0237012387.

The spelling of 13485300 in words is "thirteen million, four hundred eighty-five thousand, three hundred".