14729040 has 100 divisors (see below), whose sum is σ = 51178644. Its totient is φ = 3926016.

The previous prime is 14729027. The next prime is 14729059. The reversal of 14729040 is 4092741.

It is a happy number.

14729040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 5143824 = 3096^2 + 2268^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14728995 and 14729013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5344 + ... + 7616.

Almost surely, 2^14729040 is an apocalyptic number.

14729040 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 14729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589322).

14729040 is an abundant number, since it is smaller than the sum of its proper divisors (36449604).

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

14729040 is a wasteful number, since it uses less digits than its factorization.

14729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14729040 is about 3837.8431442674. The cubic root of 14729040 is about 245.1271864961.

The spelling of 14729040 in words is "fourteen million, seven hundred twenty-nine thousand, forty".