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13947714 = 235112609
BaseRepresentation
bin110101001101…
…001101000010
3222020121200000
4311031031002
512032311324
61214540430
7226360614
oct65151502
928217600
1013947714
117967140
124807716
132b746b1
141bd0db4
1513579c9
hexd4d342

13947714 has 48 divisors (see below), whose sum is σ = 34201440. Its totient is φ = 4224960.

The previous prime is 13947709. The next prime is 13947743. The reversal of 13947714 is 41774931.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4042 + ... + 6650.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 213947714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13947714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100720).

13947714 is an abundant number, since it is smaller than the sum of its proper divisors (20253726).

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

13947714 is a wasteful number, since it uses less digits than its factorization.

13947714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2625 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13947714 is about 3734.6638402941. The cubic root of 13947714 is about 240.7138123615.

The spelling of 13947714 in words is "thirteen million, nine hundred forty-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2609 2673 5218 5346 7827 15654 23481 28699 46962 57398 70443 86097 140886 172194 211329 258291 422658 516582 633987 774873 1267974 1549746 2324619 4649238 6973857 13947714