13123936 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 5483520.

The previous prime is 13123931. The next prime is 13123969. The reversal of 13123936 is 63932131.

It is a super-2 number, since 2×13123936² = 344475392264192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

13123936 is a modest number, since divided by 3936 gives 1312 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8470 + ... + 9898.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 2^13123936 is an apocalyptic number.

13123936 is a gapful number since it is divisible by the number (16) 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 13123936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

13123936 is an abundant number, since it is smaller than the sum of its proper divisors (17146304).

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

13123936 is a wasteful number, since it uses less digits than its factorization.

13123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 13123936 is about 3622.6973376201. The cubic root of 13123936 is about 235.8783247148.

The spelling of 13123936 in words is "thirteen million, one hundred twenty-three thousand, nine hundred thirty-six".