Search a number
-
+
20958868 = 2272611753
BaseRepresentation
bin100111111110…
…0111010010100
31110102211011101
41033330322110
520331140433
62025115444
7343101400
oct117747224
943384141
1020958868
1110915787
127028b84
13445a9c8
142ad8100
151c9007d
hex13fce94

20958868 has 36 divisors (see below), whose sum is σ = 43390452. Its totient is φ = 8830080.

The previous prime is 20958863. The next prime is 20958907. The reversal of 20958868 is 86885902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 20322064 = 798^2 + 4508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20958863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11080 + ... + 12832.

Almost surely, 220958868 is an apocalyptic number.

20958868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20958868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695226).

20958868 is an abundant number, since it is smaller than the sum of its proper divisors (22431584).

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

20958868 is a wasteful number, since it uses less digits than its factorization.

20958868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 20958868 is about 4578.0856261105. The cubic root of 20958868 is about 275.7121728130.

The spelling of 20958868 in words is "twenty million, nine hundred fifty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 1753 2989 3506 5978 7012 11956 12271 24542 49084 85897 106933 171794 213866 343588 427732 748531 1497062 2994124 5239717 10479434 20958868