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20122536 = 2337271241
BaseRepresentation
bin100110011000…
…0101110101000
31101212022221010
41030300232220
520122410121
61555143520
7333016200
oct114605650
941768833
1020122536
11103a43a5
1268a4ba0
134227135
14295b400
151b77376
hex1330ba8

20122536 has 96 divisors (see below), whose sum is σ = 59590080. Its totient is φ = 5644800.

The previous prime is 20122519. The next prime is 20122541. The reversal of 20122536 is 63522102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 83376 + ... + 83616.

It is an arithmetic number, because the mean of its divisors is an integer number (620730).

Almost surely, 220122536 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 20122536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795040).

20122536 is an abundant number, since it is smaller than the sum of its proper divisors (39467544).

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

20122536 is a wasteful number, since it uses less digits than its factorization.

20122536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20122536 is about 4485.8149761220. The cubic root of 20122536 is about 271.9949898154.

Adding to 20122536 its reverse (63522102), we get a palindrome (83644638).

The spelling of 20122536 in words is "twenty million, one hundred twenty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 142 147 168 196 213 241 284 294 392 426 482 497 568 588 723 852 964 994 1176 1446 1491 1687 1704 1928 1988 2892 2982 3374 3479 3976 5061 5784 5964 6748 6958 10122 10437 11809 11928 13496 13916 17111 20244 20874 23618 27832 34222 35427 40488 41748 47236 51333 68444 70854 83496 94472 102666 119777 136888 141708 205332 239554 283416 359331 410664 479108 718662 838439 958216 1437324 1676878 2515317 2874648 3353756 5030634 6707512 10061268 20122536