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20985426 = 2337311103
BaseRepresentation
bin101000000001…
…1011001010010
31110111011121000
41100003121102
520333013201
62025442430
7343242000
oct120033122
943434530
1020985426
1110933730
127040416
134469b17
142b03a70
151c97d86
hex1403652

20985426 has 128 divisors (see below), whose sum is σ = 59904000. Its totient is φ = 5397840.

The previous prime is 20985421. The next prime is 20985439. The reversal of 20985426 is 62458902.

20985426 = T164 + T165 + ... + T506.

It is a happy number.

20985426 is a `hidden beast` number, since 20 + 98 + 542 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20985421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203691 + ... + 203793.

It is an arithmetic number, because the mean of its divisors is an integer number (468000).

Almost surely, 220985426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20985426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952000).

20985426 is an abundant number, since it is smaller than the sum of its proper divisors (38918574).

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

20985426 is a wasteful number, since it uses less digits than its factorization.

20985426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20985426 is about 4580.9852652022. The cubic root of 20985426 is about 275.8285797554.

The spelling of 20985426 in words is "twenty million, nine hundred eighty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 103 126 147 154 189 198 206 231 294 297 309 343 378 441 462 539 594 618 686 693 721 882 927 1029 1078 1133 1323 1386 1442 1617 1854 2058 2079 2163 2266 2646 2781 3087 3234 3399 3773 4158 4326 4851 5047 5562 6174 6489 6798 7546 7931 9261 9702 10094 10197 11319 12978 14553 15141 15862 18522 19467 20394 22638 23793 29106 30282 30591 33957 35329 38934 45423 47586 55517 61182 67914 70658 71379 90846 101871 105987 111034 136269 142758 166551 203742 211974 214137 272538 317961 333102 388619 428274 499653 635922 777238 953883 999306 1165857 1498959 1907766 2331714 2997918 3497571 6995142 10492713 20985426