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13965066 = 2322931863
BaseRepresentation
bin110101010001…
…011100001010
3222021111110200
4311101130022
512033340231
61215153030
7226462323
oct65213412
928244420
1013965066
117979185
124815776
132b7c56b
141bd744a
15135cbe6
hexd5170a

13965066 has 48 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 4344480.

The previous prime is 13965059. The next prime is 13965089. The reversal of 13965066 is 66056931.

It is a self number, because there is not a number n which added to its sum of digits gives 13965066.

It is a congruent 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, 15751 + ... + 16613.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 213965066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13965066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

13965066 is an abundant number, since it is smaller than the sum of its proper divisors (18383094).

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

13965066 is a wasteful number, since it uses less digits than its factorization.

13965066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 13965066 is about 3736.9862188667. The cubic root of 13965066 is about 240.8135929936.

The spelling of 13965066 in words is "thirteen million, nine hundred sixty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 863 899 1726 1798 2589 2697 5178 5394 7767 8091 15534 16182 25027 26753 50054 53506 75081 80259 150162 160518 225243 240777 450486 481554 775837 1551674 2327511 4655022 6982533 13965066