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20718126 = 23311132683
BaseRepresentation
bin100111100001…
…0001000101110
31102222120221000
41033002020232
520300440001
62020021130
7341046462
oct117021056
942876830
1020718126
1110770920
126b317a6
1343a5260
142a744a2
151c43a86
hex13c222e

20718126 has 64 divisors (see below), whose sum is σ = 54109440. Its totient is φ = 5793120.

The previous prime is 20718109. The next prime is 20718149. The reversal of 20718126 is 62181702.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20718126.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6381 + ... + 9063.

It is an arithmetic number, because the mean of its divisors is an integer number (845460).

Almost surely, 220718126 is an apocalyptic number.

20718126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20718126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054720).

20718126 is an abundant number, since it is smaller than the sum of its proper divisors (33391314).

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

20718126 is a wasteful number, since it uses less digits than its factorization.

20718126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20718126 is about 4551.7168189596. The cubic root of 20718126 is about 274.6524579348.

Adding to 20718126 its reverse (62181702), we get a palindrome (82899828).

The spelling of 20718126 in words is "twenty million, seven hundred eighteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 2683 3861 5366 7722 8049 16098 24147 29513 34879 48294 59026 69758 72441 88539 104637 144882 177078 209274 265617 313911 383669 531234 627822 767338 796851 941733 1151007 1593702 1883466 2302014 3453021 6906042 10359063 20718126