Search a number
-
+
13839784 = 237534663
BaseRepresentation
bin110100110010…
…110110101000
3222001010121121
4310302312220
512020333114
61212345024
7225431140
oct64626650
928033547
1013839784
1178a3042
124775174
132b3752a
141ba3920
151335a24
hexd32da8

13839784 has 32 divisors (see below), whose sum is σ = 30222720. Its totient is φ = 5818176.

The previous prime is 13839737. The next prime is 13839797. The reversal of 13839784 is 48793831.

It is a happy number.

13839784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13839784.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 5299.

It is an arithmetic number, because the mean of its divisors is an integer number (944460).

Almost surely, 213839784 is an apocalyptic number.

13839784 is a gapful number since it is divisible by the number (14) 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 13839784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111360).

13839784 is an abundant number, since it is smaller than the sum of its proper divisors (16382936).

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

13839784 is a wasteful number, since it uses less digits than its factorization.

13839784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4725 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 13839784 is about 3720.1860168545. The cubic root of 13839784 is about 240.0913078502.

The spelling of 13839784 in words is "thirteen million, eight hundred thirty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 4663 9326 18652 32641 37304 65282 130564 247139 261128 494278 988556 1729973 1977112 3459946 6919892 13839784