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20718036 = 22321797349
BaseRepresentation
bin100111100001…
…0000111010100
31102222120210200
41033002013110
520300434121
62020020500
7341046303
oct117020724
942876720
1020718036
1110770849
126b31730
1343a51c1
142a7443a
151c43a26
hex13c21d4

20718036 has 72 divisors (see below), whose sum is σ = 56183400. Its totient is φ = 6414336.

The previous prime is 20718031. The next prime is 20718073. The reversal of 20718036 is 63081702.

20718036 = T113 + T114 + ... + T500.

It can be written as a sum of positive squares in 4 ways, for example, as 7322436 + 13395600 = 2706^2 + 3660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20718031) 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 23 ways as a sum of consecutive naturals, for example, 59190 + ... + 59538.

It is an arithmetic number, because the mean of its divisors is an integer number (780325).

Almost surely, 220718036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20718036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28091700).

20718036 is an abundant number, since it is smaller than the sum of its proper divisors (35465364).

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

20718036 is a wasteful number, since it uses less digits than its factorization.

20718036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20718036 is about 4551.7069325694. The cubic root of 20718036 is about 274.6520602354.

Adding to 20718036 its reverse (63081702), we get a palindrome (83799738).

The spelling of 20718036 in words is "twenty million, seven hundred eighteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 349 388 582 612 698 873 1047 1164 1396 1649 1746 2094 3141 3298 3492 4188 4947 5933 6282 6596 9894 11866 12564 14841 17799 19788 23732 29682 33853 35598 53397 59364 67706 71196 101559 106794 135412 203118 213588 304677 406236 575501 609354 1151002 1218708 1726503 2302004 3453006 5179509 6906012 10359018 20718036