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20428866 = 23217101661
BaseRepresentation
bin100110111101…
…1100001000010
31102102220010200
41031323201002
520212210431
62005510030
7335433243
oct115734102
942386120
1020428866
1110593567
126a12316
1343036b3
1429dacca
151bd7ee6
hex137b842

20428866 has 48 divisors (see below), whose sum is σ = 47401848. Its totient is φ = 6336000.

The previous prime is 20428843. The next prime is 20428909. The reversal of 20428866 is 66882402.

It can be written as a sum of positive squares in 4 ways, for example, as 19580625 + 848241 = 4425^2 + 921^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20428866.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30576 + ... + 31236.

Almost surely, 220428866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20428866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700924).

20428866 is an abundant number, since it is smaller than the sum of its proper divisors (26972982).

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

20428866 is a wasteful number, since it uses less digits than its factorization.

20428866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 20428866 is about 4519.8303065491. The cubic root of 20428866 is about 273.3682588064.

The spelling of 20428866 in words is "twenty million, four hundred twenty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 661 909 1322 1717 1818 1983 3434 3966 5151 5949 10302 11237 11898 15453 22474 30906 33711 66761 67422 101133 133522 200283 202266 400566 600849 1134937 1201698 2269874 3404811 6809622 10214433 20428866