13965140 has 48 divisors (see below), whose sum is σ = 34981632. Its totient is φ = 4578816.

The previous prime is 13965139. The next prime is 13965151. The reversal of 13965140 is 4156931.

13965140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052 + ... + 5388.

It is an arithmetic number, because the mean of its divisors is an integer number (728784).

Almost surely, 2^13965140 is an apocalyptic number.

13965140 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 13965140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17490816).

13965140 is an abundant number, since it is smaller than the sum of its proper divisors (21016492).

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

13965140 is a wasteful number, since it uses less digits than its factorization.

13965140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 13965140 is about 3736.9961198802. The cubic root of 13965140 is about 240.8140183448.

Adding to 13965140 its sum of digits (29), we get a square (13965169 = 3737²).

The spelling of 13965140 in words is "thirteen million, nine hundred sixty-five thousand, one hundred forty".