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20984085 = 3253531321
BaseRepresentation
bin101000000001…
…1000100010101
31110111002202100
41100003010111
520332442320
62025432313
7343235043
oct120030425
943432670
1020984085
1110932721
12703b699
134469325
142b03393
151c97790
hex1403115

20984085 has 24 divisors (see below), whose sum is σ = 36503064. Its totient is φ = 11151360.

The previous prime is 20984071. The next prime is 20984123. The reversal of 20984085 is 58048902.

It can be written as a sum of positive squares in 4 ways, for example, as 5349969 + 15634116 = 2313^2 + 3954^2 .

It is not a de Polignac number, because 20984085 - 26 = 20984021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15225 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (1520961).

Almost surely, 220984085 is an apocalyptic number.

It is an amenable number.

20984085 is a deficient number, since it is larger than the sum of its proper divisors (15518979).

20984085 is a wasteful number, since it uses less digits than its factorization.

20984085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20984085 is about 4580.8388969707. The cubic root of 20984085 is about 275.8227043445.

The spelling of 20984085 in words is "twenty million, nine hundred eighty-four thousand, eighty-five".

Divisors: 1 3 5 9 15 45 353 1059 1321 1765 3177 3963 5295 6605 11889 15885 19815 59445 466313 1398939 2331565 4196817 6994695 20984085