13019940 has 168 divisors, whose sum is σ = 44069760. Its totient is φ = 3219264.

The previous prime is 13019933. The next prime is 13019947. The reversal of 13019940 is 4991031.

It is an interprime number because it is at equal distance from previous prime (13019933) and next prime (13019947).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13019947) 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 55 ways as a sum of consecutive naturals, for example, 276997 + ... + 277043.

It is an arithmetic number, because the mean of its divisors is an integer number (262320).

Almost surely, 2^13019940 is an apocalyptic number.

13019940 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 13019940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034880).

13019940 is an abundant number, since it is smaller than the sum of its proper divisors (31049820).

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

13019940 is a wasteful number, since it uses less digits than its factorization.

13019940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13019940 is about 3608.3153964142. The cubic root of 13019940 is about 235.2536268806.

The spelling of 13019940 in words is "thirteen million, nineteen thousand, nine hundred forty".