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20327274 = 2341121761
BaseRepresentation
bin100110110001…
…0101101101010
31102020201210000
41031202231222
520200433044
62003403430
7334531122
oct115425552
942221700
1020327274
1110524200
126983576
134299396
1429b1c82
151bb7d69
hex1362b6a

20327274 has 120 divisors (see below), whose sum is σ = 53879364. Its totient is φ = 5702400.

The previous prime is 20327273. The next prime is 20327287. The reversal of 20327274 is 47272302.

It can be written as a sum of positive squares in 2 ways, for example, as 19847025 + 480249 = 4455^2 + 693^2 .

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 (20327273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 333204 + ... + 333264.

Almost surely, 220327274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20327274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939682).

20327274 is an abundant number, since it is smaller than the sum of its proper divisors (33552090).

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

20327274 is a wasteful number, since it uses less digits than its factorization.

20327274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20327274 is about 4508.5778245473. The cubic root of 20327274 is about 272.9143554557.

Adding to 20327274 its reverse (47272302), we get a palindrome (67599576).

The spelling of 20327274 in words is "twenty million, three hundred twenty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 61 66 81 99 102 121 122 153 162 183 187 198 242 297 306 363 366 374 459 549 561 594 671 726 891 918 1037 1089 1098 1122 1342 1377 1647 1683 1782 2013 2057 2074 2178 2754 3111 3267 3294 3366 4026 4114 4941 5049 6039 6171 6222 6534 7381 9333 9801 9882 10098 11407 12078 12342 14762 15147 18117 18513 18666 19602 22143 22814 27999 30294 34221 36234 37026 44286 54351 55539 55998 66429 68442 83997 102663 108702 111078 125477 132858 166617 167994 199287 205326 250954 307989 333234 376431 398574 597861 615978 752862 923967 1129293 1195722 1847934 2258586 3387879 6775758 10163637 20327274