13901940 has 108 divisors (see below), whose sum is σ = 45762444. Its totient is φ = 3414528.

The previous prime is 13901929. The next prime is 13901947. The reversal of 13901940 is 4910931.

It can be written as a sum of positive squares in 6 ways, for example, as 898704 + 13003236 = 948^2 + 3606^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30192 + ... + 30648.

Almost surely, 2^13901940 is an apocalyptic number.

13901940 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 13901940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881222).

13901940 is an abundant number, since it is smaller than the sum of its proper divisors (31860504).

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

13901940 is a wasteful number, since it uses less digits than its factorization.

13901940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

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

The square root of 13901940 is about 3728.5305416477. The cubic root of 13901940 is about 240.4501966510.

It can be divided in two parts, 13901 and 940, that added together give a palindrome (14841).

The spelling of 13901940 in words is "thirteen million, nine hundred one thousand, nine hundred forty".