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20984535 = 33511131087
BaseRepresentation
bin101000000001…
…1001011010111
31110111010101000
41100003023113
520333001120
62025434343
7343236255
oct120031327
943433330
1020984535
1110932aa0
12703b9b3
1344695b0
142b035d5
151c97990
hex14032d7

20984535 has 64 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 9383040.

The previous prime is 20984503. The next prime is 20984581. The reversal of 20984535 is 53548902.

It is not a de Polignac number, because 20984535 - 25 = 20984503 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20984535.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18762 + ... + 19848.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 220984535 is an apocalyptic number.

20984535 is an abundant number, since it is smaller than the sum of its proper divisors (22883625).

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

20984535 is a wasteful number, since it uses less digits than its factorization.

20984535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 20984535 is about 4580.8880143483. Note that the first 3 decimals coincide. The cubic root of 20984535 is about 275.8246759868.

The spelling of 20984535 in words is "twenty million, nine hundred eighty-four thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1087 1287 1485 1755 2145 3261 3861 5435 6435 9783 11957 14131 16305 19305 29349 35871 42393 48915 59785 70655 107613 127179 146745 155441 179355 211965 322839 381537 466323 538065 635895 777205 1398969 1614195 1907685 2331615 4196907 6994845 20984535