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20528208 = 2433194161
BaseRepresentation
bin100111001001…
…1110001010000
31102121221102000
41032103301100
520223400313
62011554000
7336326001
oct116236120
942557360
1020528208
1110651168
126a5b900
13433998c
142a251a8
151c07673
hex1393c50

20528208 has 160 divisors (see below), whose sum is σ = 64579200. Its totient is φ = 6220800.

The previous prime is 20528203. The next prime is 20528251. The reversal of 20528208 is 80282502.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20528203) 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 31 ways as a sum of consecutive naturals, for example, 336498 + ... + 336558.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 220528208 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 20528208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

20528208 is an abundant number, since it is smaller than the sum of its proper divisors (44050992).

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

20528208 is a wasteful number, since it uses less digits than its factorization.

20528208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20528208 is about 4530.8065507148. The cubic root of 20528208 is about 273.8106564783.

It can be divided in two parts, 20528 and 208, that added together give a 4-th power (20736 = 124).

The spelling of 20528208 in words is "twenty million, five hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 41 48 54 57 61 72 76 82 108 114 122 123 144 152 164 171 183 216 228 244 246 304 328 342 366 369 432 456 488 492 513 549 656 684 732 738 779 912 976 984 1026 1098 1107 1159 1368 1464 1476 1558 1647 1968 2052 2196 2214 2318 2337 2501 2736 2928 2952 3116 3294 3477 4104 4392 4428 4636 4674 5002 5904 6232 6588 6954 7011 7503 8208 8784 8856 9272 9348 10004 10431 12464 13176 13908 14022 15006 17712 18544 18696 20008 20862 21033 22509 26352 27816 28044 30012 31293 37392 40016 41724 42066 45018 47519 55632 56088 60024 62586 67527 83448 84132 90036 95038 112176 120048 125172 135054 142557 166896 168264 180072 190076 250344 270108 285114 336528 360144 380152 427671 500688 540216 570228 760304 855342 1080432 1140456 1283013 1710684 2280912 2566026 3421368 5132052 6842736 10264104 20528208