13781940 has 24 divisors (see below), whose sum is σ = 38589600. Its totient is φ = 3675168.

The previous prime is 13781939. The next prime is 13781941. The reversal of 13781940 is 4918731.

13781940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13781939) and next prime (13781941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13781941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114790 + ... + 114909.

It is an arithmetic number, because the mean of its divisors is an integer number (1607900).

Almost surely, 2^13781940 is an apocalyptic number.

13781940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13781940 is an abundant number, since it is smaller than the sum of its proper divisors (24807660).

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

13781940 is a wasteful number, since it uses less digits than its factorization.

13781940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229711 (or 229709 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 13781940 is about 3712.4035341002. The cubic root of 13781940 is about 239.7563499503.

The spelling of 13781940 in words is "thirteen million, seven hundred eighty-one thousand, nine hundred forty".