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13918146 = 23112191009
BaseRepresentation
bin110101000101…
…111111000010
3222012010002220
4311011333002
512030340041
61214151510
7226205454
oct65057702
928163086
1013918146
117946a00
1247b2596
132b640b8
141bc42d4
15134dd66
hexd45fc2

13918146 has 48 divisors (see below), whose sum is σ = 32239200. Its totient is φ = 3991680.

The previous prime is 13918139. The next prime is 13918181. The reversal of 13918146 is 64181931.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13290 + ... + 14298.

It is an arithmetic number, because the mean of its divisors is an integer number (671650).

Almost surely, 213918146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13918146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119600).

13918146 is an abundant number, since it is smaller than the sum of its proper divisors (18321054).

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

13918146 is a wasteful number, since it uses less digits than its factorization.

13918146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 13918146 is about 3730.7031508819. The cubic root of 13918146 is about 240.5435942315.

The spelling of 13918146 in words is "thirteen million, nine hundred eighteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1009 1254 2018 2299 3027 4598 6054 6897 11099 13794 19171 22198 33297 38342 57513 66594 115026 122089 210881 244178 366267 421762 632643 732534 1265286 2319691 4639382 6959073 13918146