13726100 has 36 divisors (see below), whose sum is σ = 29948604. Its totient is φ = 5460480.

The previous prime is 13726081. The next prime is 13726109. The reversal of 13726100 is 162731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4857616 + 8868484 = 2204^2 + 2978^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13726109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31484 + ... + 31916.

Almost surely, 2^13726100 is an apocalyptic number.

13726100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13726100 is an abundant number, since it is smaller than the sum of its proper divisors (16222504).

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

13726100 is a wasteful number, since it uses less digits than its factorization.

13726100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 13726100 is about 3704.8751665879. The cubic root of 13726100 is about 239.4321063707.

Adding to 13726100 its reverse (162731), we get a palindrome (13888831).

The spelling of 13726100 in words is "thirteen million, seven hundred twenty-six thousand, one hundred".