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13788042 = 232298007
BaseRepresentation
bin110100100110…
…001110001010
3221221111122020
4310212032022
512012204132
61211305310
7225124242
oct64461612
927844566
1013788042
117868184
12474b236
132b19b08
141b8cb22
15132552c
hexd2638a

13788042 has 8 divisors (see below), whose sum is σ = 27576096. Its totient is φ = 4596012.

The previous prime is 13788041. The next prime is 13788059. The reversal of 13788042 is 24088731.

It is a sphenic number, since it is the product of 3 distinct primes.

13788042 is an admirable number.

It is a super-2 number, since 2×137880422 = 380220204387528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 13787994 and 13788012.

It is not an unprimeable number, because it can be changed into a prime (13788041) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1148998 + ... + 1149009.

It is an arithmetic number, because the mean of its divisors is an integer number (3447012).

Almost surely, 213788042 is an apocalyptic number.

13788042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

13788042 is a wasteful number, since it uses less digits than its factorization.

13788042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298012.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13788042 is about 3713.2252826889. The cubic root of 13788042 is about 239.7917290379.

The spelling of 13788042 in words is "thirteen million, seven hundred eighty-eight thousand, forty-two".

Divisors: 1 2 3 6 2298007 4596014 6894021 13788042