13726180 has 72 divisors (see below), whose sum is σ = 32465664. Its totient is φ = 4867200.

The previous prime is 13726169. The next prime is 13726187. The reversal of 13726180 is 8162731.

13726180 = T₃₉₃ + T₃₉₄ + ... + T₅₂₂.

13726180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13726180 is a nontrivial binomial coefficient, being equal to C(5240, 2).

It is not an unprimeable number, because it can be changed into a prime (13726187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104715 + ... + 104845.

It is an arithmetic number, because the mean of its divisors is an integer number (450912).

Almost surely, 2^13726180 is an apocalyptic number.

13726180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13726180 is the 5239-th triangular number and also the 2620-th hexagonal number.

13726180 is the 1747-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13726180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232832).

13726180 is an abundant number, since it is smaller than the sum of its proper divisors (18739484).

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

13726180 is a wasteful number, since it uses less digits than its factorization.

13726180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13726180 is about 3704.8859631573. The cubic root of 13726180 is about 239.4325715315.

The spelling of 13726180 in words is "thirteen million, seven hundred twenty-six thousand, one hundred eighty".