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20526688 = 2572131953
BaseRepresentation
bin100111001001…
…1011001100000
31102121212022201
41032103121200
520223323223
62011542544
7336321400
oct116233140
942555281
1020526688
1110650006
126a5aa54
134339090
142a24800
151c06ead
hex1393660

20526688 has 144 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 7547904.

The previous prime is 20526679. The next prime is 20526689. The reversal of 20526688 is 88662502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20526689) 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, 387270 + ... + 387322.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 220526688 is an apocalyptic number.

20526688 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 20526688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).

20526688 is an abundant number, since it is smaller than the sum of its proper divisors (33769232).

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

20526688 is a wasteful number, since it uses less digits than its factorization.

20526688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 20526688 is about 4530.6388070558. The cubic root of 20526688 is about 273.8038982578.

The spelling of 20526688 in words is "twenty million, five hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 53 56 76 91 98 104 106 112 133 152 182 196 208 212 224 247 266 304 364 371 392 416 424 494 532 608 637 689 728 742 784 848 931 988 1007 1064 1274 1378 1456 1484 1568 1696 1729 1862 1976 2014 2128 2548 2597 2756 2912 2968 3458 3724 3952 4028 4256 4823 5096 5194 5512 5936 6916 7049 7448 7904 8056 9646 10192 10388 11024 11872 12103 13091 13832 14098 14896 16112 19292 20384 20776 22048 24206 26182 27664 28196 29792 32224 33761 38584 41552 48412 49343 52364 55328 56392 67522 77168 83104 91637 96824 98686 104728 112784 135044 154336 183274 193648 197372 209456 225568 270088 366548 387296 394744 418912 540176 641459 733096 789488 1080352 1282918 1466192 1578976 2565836 2932384 5131672 10263344 20526688