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20919834 = 232133232
BaseRepresentation
bin100111111001…
…1011000011010
31110100211121200
41033303120122
520323413314
62024215030
7342546525
oct117633032
943324550
1020919834
1110899421
12700a476
134446000
142ac7bbc
151c83709
hex13f361a

20919834 has 72 divisors (see below), whose sum is σ = 51329460. Its totient is φ = 6157008.

The previous prime is 20919797. The next prime is 20919859. The reversal of 20919834 is 43891902.

It can be written as a sum of positive squares in 2 ways, for example, as 6517809 + 14402025 = 2553^2 + 3795^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 909547 + ... + 909569.

Almost surely, 220919834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20919834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25664730).

20919834 is an abundant number, since it is smaller than the sum of its proper divisors (30409626).

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

20919834 is a wasteful number, since it uses less digits than its factorization.

20919834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20919834 is about 4573.8205036927. The cubic root of 20919834 is about 275.5409034319.

The spelling of 20919834 in words is "twenty million, nine hundred nineteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 169 207 234 299 338 414 507 529 598 897 1014 1058 1521 1587 1794 2197 2691 3042 3174 3887 4394 4761 5382 6591 6877 7774 9522 11661 13182 13754 19773 20631 23322 34983 39546 41262 50531 61893 69966 89401 101062 123786 151593 178802 268203 303186 454779 536406 804609 909558 1162213 1609218 2324426 3486639 6973278 10459917 20919834