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20278764 = 223211411249
BaseRepresentation
bin100110101011…
…0110111101100
31102011021020100
41031112313230
520142410024
62002351100
7334236522
oct115266754
942137210
1020278764
11104a0810
12695b490
13428028c
14299c312
151ba87c9
hex1356dec

20278764 has 72 divisors (see below), whose sum is σ = 57330000. Its totient is φ = 5990400.

The previous prime is 20278763. The next prime is 20278771. The reversal of 20278764 is 46787202.

It is a super-2 number, since 2×202787642 = 822456538735392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20278763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15612 + ... + 16860.

It is an arithmetic number, because the mean of its divisors is an integer number (796250).

Almost surely, 220278764 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 20278764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28665000).

20278764 is an abundant number, since it is smaller than the sum of its proper divisors (37051236).

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

20278764 is a wasteful number, since it uses less digits than its factorization.

20278764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20278764 is about 4503.1948658702. The cubic root of 20278764 is about 272.6970838099.

It can be divided in two parts, 20 and 278764, that added together give a square (278784 = 5282).

The spelling of 20278764 in words is "twenty million, two hundred seventy-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1249 1353 1476 1804 2498 2706 3747 4059 4996 5412 7494 8118 11241 13739 14988 16236 22482 27478 41217 44964 51209 54956 82434 102418 123651 153627 164868 204836 247302 307254 460881 494604 563299 614508 921762 1126598 1689897 1843524 2253196 3379794 5069691 6759588 10139382 20278764