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20742813 = 32713193143
BaseRepresentation
bin100111100100…
…0001010011101
31110000211210100
41033020022131
520302232223
62020331313
7341211450
oct117101235
943024710
1020742813
1110788423
126b43b39
1343b3570
142a7d497
151c4b043
hex13c829d

20742813 has 96 divisors (see below), whose sum is σ = 41000960. Its totient is φ = 9797760.

The previous prime is 20742811. The next prime is 20742817. The reversal of 20742813 is 31824702.

It is not a de Polignac number, because 20742813 - 21 = 20742811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20742811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482370 + ... + 482412.

Almost surely, 220742813 is an apocalyptic number.

It is an amenable number.

20742813 is a deficient number, since it is larger than the sum of its proper divisors (20258147).

20742813 is a wasteful number, since it uses less digits than its factorization.

20742813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20742813 is about 4554.4278455147. The cubic root of 20742813 is about 274.7615034140.

The spelling of 20742813 in words is "twenty million, seven hundred forty-two thousand, eight hundred thirteen".

Divisors: 1 3 7 9 13 19 21 31 39 43 57 63 91 93 117 129 133 171 217 247 273 279 301 387 399 403 559 589 651 741 817 819 903 1197 1209 1333 1677 1729 1767 1953 2223 2451 2709 2821 3627 3913 3999 4123 5031 5187 5301 5719 7353 7657 8463 9331 10621 11739 11997 12369 15561 17157 17329 22971 25327 25389 27993 31863 35217 37107 51471 51987 53599 68913 74347 75981 83979 95589 121303 155961 160797 177289 223041 227943 329251 363909 482391 531867 669123 987753 1091727 1595601 2304757 2963259 6914271 20742813