13826900 has 54 divisors (see below), whose sum is σ = 31142538. Its totient is φ = 5328000.

The previous prime is 13826849. The next prime is 13826921. The reversal of 13826900 is 962831.

It can be written as a sum of positive squares in 9 ways, for example, as 620944 + 13205956 = 788^2 + 3634^2 .

It is a super-2 number, since 2×13826900² = 382366327220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136850 + ... + 136950.

Almost surely, 2^13826900 is an apocalyptic number.

13826900 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 13826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571269).

13826900 is an abundant number, since it is smaller than the sum of its proper divisors (17315638).

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

13826900 is a wasteful number, since it uses less digits than its factorization.

13826900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13826900 is about 3718.4539798147. The cubic root of 13826900 is about 240.0167812340.

The spelling of 13826900 in words is "thirteen million, eight hundred twenty-six thousand, nine hundred".