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13723866 = 23213223263
BaseRepresentation
bin110100010110…
…100011011010
3221211020121100
4310112203122
512003130431
61210052230
7224436162
oct64264332
927736540
1013723866
117823a42
12471a076
132ac6840
141b735a2
1513114e6
hexd168da

13723866 has 48 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 4187808.

The previous prime is 13723819. The next prime is 13723867. The reversal of 13723866 is 66832731.

It is a happy number.

13723866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (36288) is a multiple of the sum of its prime divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 13723866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13723867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52051 + ... + 52313.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 213723866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13723866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).

13723866 is an abundant number, since it is smaller than the sum of its proper divisors (18564390).

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

13723866 is a wasteful number, since it uses less digits than its factorization.

13723866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13723866 is about 3704.5736596807. The cubic root of 13723866 is about 239.4191160252.

The spelling of 13723866 in words is "thirteen million, seven hundred twenty-three thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 223 234 263 446 526 669 789 1338 1578 2007 2367 2899 3419 4014 4734 5798 6838 8697 10257 17394 20514 26091 30771 52182 58649 61542 117298 175947 351894 527841 762437 1055682 1524874 2287311 4574622 6861933 13723866