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20705685 = 35721113197
BaseRepresentation
bin100111011111…
…1000110010101
31102221221212020
41032333012111
520300040220
62015443353
7340665300
oct116770625
942857766
1020705685
1110762540
126b26559
13439c6b0
142a6db37
151c40040
hex13bf195

20705685 has 96 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 7902720.

The previous prime is 20705683. The next prime is 20705701. The reversal of 20705685 is 58650702.

It is a happy number.

It is not a de Polignac number, because 20705685 - 21 = 20705683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20705683) 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, 105007 + ... + 105203.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 220705685 is an apocalyptic number.

It is an amenable number.

20705685 is an abundant number, since it is smaller than the sum of its proper divisors (24799467).

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

20705685 is a wasteful number, since it uses less digits than its factorization.

20705685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 20705685 is about 4550.3499865395. The cubic root of 20705685 is about 274.5974716970.

The spelling of 20705685 in words is "twenty million, seven hundred five thousand, six hundred eighty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 197 231 245 273 385 429 455 539 591 637 715 735 985 1001 1155 1365 1379 1617 1911 2145 2167 2561 2695 2955 3003 3185 4137 5005 6501 6895 7007 7683 8085 9555 9653 10835 12805 15015 15169 17927 20685 21021 28171 28959 32505 35035 38415 45507 48265 53781 75845 84513 89635 105105 106183 125489 140855 144795 197197 227535 268905 318549 376467 422565 530915 591591 627445 985985 1380379 1592745 1882335 2957955 4141137 6901895 20705685