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12166728 = 233772421
BaseRepresentation
bin101110011010…
…011001001000
3211220010121120
4232122121020
511103313403
61112435240
7205262340
oct56323110
924803546
1012166728
116960052
1240a8b20
13269cb62
141889d20
151104e53
hexb9a648

12166728 has 32 divisors (see below), whose sum is σ = 34762560. Its totient is φ = 3476160.

The previous prime is 12166703. The next prime is 12166729. The reversal of 12166728 is 82766121.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12166729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36043 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (1086330).

Almost surely, 212166728 is an apocalyptic number.

It is an amenable number.

12166728 is an abundant number, since it is smaller than the sum of its proper divisors (22595832).

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

12166728 is a wasteful number, since it uses less digits than its factorization.

12166728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72437 (or 72433 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 12166728 is about 3488.0837145917. The cubic root of 12166728 is about 229.9982860616.

The spelling of 12166728 in words is "twelve million, one hundred sixty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 72421 144842 217263 289684 434526 506947 579368 869052 1013894 1520841 1738104 2027788 3041682 4055576 6083364 12166728