13465700 has 54 divisors (see below), whose sum is σ = 31290966. Its totient is φ = 5012480.

The previous prime is 13465693. The next prime is 13465703. The reversal of 13465700 is 756431.

13465700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 5837056 + 7628644 = 2416^2 + 2762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13465700.

It is not an unprimeable number, because it can be changed into a prime (13465703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151256 + ... + 151344.

Almost surely, 2^13465700 is an apocalyptic number.

13465700 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 13465700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645483).

13465700 is an abundant number, since it is smaller than the sum of its proper divisors (17825266).

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

13465700 is a wasteful number, since it uses less digits than its factorization.

13465700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 13465700 is about 3669.5640067997. The cubic root of 13465700 is about 237.9083280400.

The spelling of 13465700 in words is "thirteen million, four hundred sixty-five thousand, seven hundred".