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20840742 = 2321331731
BaseRepresentation
bin100111110000…
…0000100100110
31110012211010100
41033200010212
520313400432
62022404530
7342100116
oct117400446
943184110
1020840742
1110844a5a
126b90746
134419000
142aa7046
151c6a07c
hex13e0126

20840742 has 96 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 5840640.

The previous prime is 20840717. The next prime is 20840761. The reversal of 20840742 is 24704802.

It is a super-2 number, since 2×208407422 = 868673054221128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672267 + ... + 672297.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 220840742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20840742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

20840742 is an abundant number, since it is smaller than the sum of its proper divisors (32623578).

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

20840742 is a wasteful number, since it uses less digits than its factorization.

20840742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20840742 is about 4565.1661525075. The cubic root of 20840742 is about 275.1932173800.

The spelling of 20840742 in words is "twenty million, eight hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 31 34 39 51 62 78 93 102 117 153 169 186 221 234 279 306 338 403 442 507 527 558 663 806 1014 1054 1209 1326 1521 1581 1989 2197 2418 2873 3042 3162 3627 3978 4394 4743 5239 5746 6591 6851 7254 8619 9486 10478 13182 13702 15717 17238 19773 20553 25857 31434 37349 39546 41106 47151 51714 61659 68107 74698 89063 94302 112047 123318 136214 178126 204321 224094 267189 336141 408642 534378 612963 672282 801567 1157819 1225926 1603134 2315638 3473457 6946914 10420371 20840742