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20985435 = 3251632861
BaseRepresentation
bin101000000001…
…1011001011011
31110111011121100
41100003121123
520333013220
62025442443
7343242012
oct120033133
943434540
1020985435
1110933739
127040423
134469b23
142b03a79
151c97d90
hex140365b

20985435 has 24 divisors (see below), whose sum is σ = 36610704. Its totient is φ = 11119680.

The previous prime is 20985421. The next prime is 20985439. The reversal of 20985435 is 53458902.

20985435 is a `hidden beast` number, since 20 + 98 + 543 + 5 = 666.

It is not a de Polignac number, because 20985435 - 211 = 20983387 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20985435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20985439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5905 + ... + 8765.

It is an arithmetic number, because the mean of its divisors is an integer number (1525446).

Almost surely, 220985435 is an apocalyptic number.

20985435 is a deficient number, since it is larger than the sum of its proper divisors (15625269).

20985435 is a wasteful number, since it uses less digits than its factorization.

20985435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3032 counting only the distinct ones).

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

The square root of 20985435 is about 4580.9862475236. The cubic root of 20985435 is about 275.8286191868.

The spelling of 20985435 in words is "twenty million, nine hundred eighty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 163 489 815 1467 2445 2861 7335 8583 14305 25749 42915 128745 466343 1399029 2331715 4197087 6995145 20985435