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12195441 = 3616729
BaseRepresentation
bin101110100001…
…011001110001
3211221121000000
4232201121301
511110223231
61113220213
7205442136
oct56413161
924847000
1012195441
11697a685
124101669
1326acc4b
14189658d
15110d6e6
hexba1671

12195441 has 14 divisors (see below), whose sum is σ = 18285890. Its totient is φ = 8129808.

The previous prime is 12195437. The next prime is 12195461. The reversal of 12195441 is 14459121.

12195441 is a `hidden beast` number, since 1 + 219 + 5 + 441 = 666.

12195441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11029041 + 1166400 = 3321^2 + 1080^2 .

It is not a de Polignac number, because 12195441 - 22 = 12195437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12195401) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7636 + ... + 9093.

It is an arithmetic number, because the mean of its divisors is an integer number (1306135).

Almost surely, 212195441 is an apocalyptic number.

It is an amenable number.

12195441 is a deficient number, since it is larger than the sum of its proper divisors (6090449).

12195441 is an frugal number, since it uses more digits than its factorization.

12195441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16747 (or 16732 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12195441 is about 3492.1971593826. The cubic root of 12195441 is about 230.1790728920.

The spelling of 12195441 in words is "twelve million, one hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 243 729 16729 50187 150561 451683 1355049 4065147 12195441