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20506122 = 2347132107
BaseRepresentation
bin100111000111…
…0011000001010
31102120211010000
41032032120022
520222143442
62011303430
7336204420
oct116163012
942524100
1020506122
111063660a
126a4ab76
13432c900
142a1b110
151c00d4c
hex138e60a

20506122 has 120 divisors (see below), whose sum is σ = 57394656. Its totient is φ = 5357664.

The previous prime is 20506093. The next prime is 20506151. The reversal of 20506122 is 22160502.

20506122 is a `hidden beast` number, since 2 + 0 + 50 + 612 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20506093) and next prime (20506151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20506095 and 20506104.

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 59 ways as a sum of consecutive naturals, for example, 191593 + ... + 191699.

Almost surely, 220506122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697328).

20506122 is an abundant number, since it is smaller than the sum of its proper divisors (36888534).

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

20506122 is a wasteful number, since it uses less digits than its factorization.

20506122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20506122 is about 4528.3685804051. The cubic root of 20506122 is about 273.7124249421.

Adding to 20506122 its reverse (22160502), we get a palindrome (42666624).

The spelling of 20506122 in words is "twenty million, five hundred six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 107 117 126 162 169 182 189 214 234 273 321 338 351 378 507 546 567 642 702 749 819 963 1014 1053 1134 1183 1391 1498 1521 1638 1926 2106 2247 2366 2457 2782 2889 3042 3549 4173 4494 4563 4914 5778 6741 7098 7371 8346 8667 9126 9737 10647 12519 13482 13689 14742 17334 18083 19474 20223 21294 25038 27378 29211 31941 36166 37557 40446 54249 58422 60669 63882 75114 87633 95823 108498 112671 121338 126581 162747 175266 191646 225342 253162 262899 325494 379743 488241 525798 759486 788697 976482 1139229 1464723 1577394 2278458 2929446 3417687 6835374 10253061 20506122