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13966146 = 2321745641
BaseRepresentation
bin110101010001…
…101101000010
3222021112221200
4311101231002
512033404041
61215202030
7226465425
oct65215502
928245850
1013966146
117979a77
124816316
132b7cbbc
141bd79bc
15135d1b6
hexd51b42

13966146 has 24 divisors (see below), whose sum is σ = 32040684. Its totient is φ = 4381440.

The previous prime is 13966103. The next prime is 13966153. The reversal of 13966146 is 64166931.

13966146 is a `hidden beast` number, since 1 + 39 + 6 + 614 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13727025 + 239121 = 3705^2 + 489^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13966146.

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 11 ways as a sum of consecutive naturals, for example, 22515 + ... + 23126.

Almost surely, 213966146 is an apocalyptic number.

13966146 is an abundant number, since it is smaller than the sum of its proper divisors (18074538).

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

13966146 is a wasteful number, since it uses less digits than its factorization.

13966146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45666 (or 45663 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13966146 is about 3737.1307175425. The cubic root of 13966146 is about 240.8198006734.

The spelling of 13966146 in words is "thirteen million, nine hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 45641 91282 136923 273846 410769 775897 821538 1551794 2327691 4655382 6983073 13966146