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20652138 = 2331323173
BaseRepresentation
bin100111011001…
…0000001101010
31102212020102000
41032302001222
520241332023
62014351430
7340353213
oct116620152
942766360
1020652138
1110726291
126abb576
134381200
142a5840a
151c2e243
hex13b206a

20652138 has 96 divisors (see below), whose sum is σ = 52001280. Its totient is φ = 6065280.

The previous prime is 20652133. The next prime is 20652157. The reversal of 20652138 is 83125602.

20652138 is a `hidden beast` number, since 2 + 0 + 652 + 1 + 3 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20652133) 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 47 ways as a sum of consecutive naturals, for example, 282870 + ... + 282942.

It is an arithmetic number, because the mean of its divisors is an integer number (541680).

Almost surely, 220652138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20652138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26000640).

20652138 is an abundant number, since it is smaller than the sum of its proper divisors (31349142).

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

20652138 is a wasteful number, since it uses less digits than its factorization.

20652138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20652138 is about 4544.4623444364. The cubic root of 20652138 is about 274.3605550516.

The spelling of 20652138 in words is "twenty million, six hundred fifty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 73 78 93 117 146 169 186 219 234 279 338 351 403 438 507 558 657 702 806 837 949 1014 1209 1314 1521 1674 1898 1971 2263 2418 2847 3042 3627 3942 4526 4563 5239 5694 6789 7254 8541 9126 10478 10881 12337 13578 15717 17082 20367 21762 24674 25623 29419 31434 37011 40734 47151 51246 58838 61101 74022 88257 94302 111033 122202 141453 176514 222066 264771 282906 333099 382447 529542 666198 764894 794313 1147341 1588626 2294682 3442023 6884046 10326069 20652138