Search a number
13940640 = 253357461

13940640 has 192 divisors, whose sum is σ = 55883520. Its totient is φ = 3179520.

The previous prime is 13940639. The next prime is 13940651. The reversal of 13940640 is 4604931.

13940640 is a `hidden beast` number, since 13 + 9 + 4 + 0 + 640 = 666.

13940640 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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30010 + ... + 30470.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 213940640 is an apocalyptic number.

13940640 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 13940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

13940640 is an abundant number, since it is smaller than the sum of its proper divisors (41942880).

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

13940640 is a wasteful number, since it uses less digits than its factorization.

13940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13940640 is about 3733.7166469886. The cubic root of 13940640 is about 240.6731104117.

The spelling of 13940640 in words is "thirteen million, nine hundred forty thousand, six hundred forty".