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13968135 = 3251719312
BaseRepresentation
bin110101010010…
…001100000111
3222021122200100
4311102030013
512033440020
61215215143
7226504266
oct65221407
928248610
1013968135
117980515
1248174b3
132b80a8c
141bd85dd
15135da90
hexd52307

13968135 has 72 divisors (see below), whose sum is σ = 27883440. Its totient is φ = 6428160.

The previous prime is 13968131. The next prime is 13968151. The reversal of 13968135 is 53186931.

It is a happy number.

It is not a de Polignac number, because 13968135 - 22 = 13968131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13968135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968131) 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 71 ways as a sum of consecutive naturals, for example, 450570 + ... + 450600.

It is an arithmetic number, because the mean of its divisors is an integer number (387270).

Almost surely, 213968135 is an apocalyptic number.

13968135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13968135 is a deficient number, since it is larger than the sum of its proper divisors (13915305).

13968135 is a wasteful number, since it uses less digits than its factorization.

13968135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13968135 is about 3737.3968213183. The cubic root of 13968135 is about 240.8312323131.

Subtracting 13968135 from its reverse (53186931), we obtain a triangular number (39218796 = T8856).

The spelling of 13968135 in words is "thirteen million, nine hundred sixty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 19 31 45 51 57 85 93 95 153 155 171 255 279 285 323 465 527 589 765 855 961 969 1395 1581 1615 1767 2635 2883 2907 2945 4743 4805 4845 5301 7905 8649 8835 10013 14415 14535 16337 18259 23715 26505 30039 43245 49011 50065 54777 81685 90117 91295 147033 150195 164331 245055 273885 310403 450585 735165 821655 931209 1552015 2793627 4656045 13968135