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20905335 = 32511157269
BaseRepresentation
bin100111110111…
…1110101110111
31110100002201200
41033233311313
520322432320
62024023543
7342456333
oct117576567
943302650
1020905335
1110889540
127001bb3
13443c529
142ac27c3
151c7e290
hex13efd77

20905335 has 48 divisors (see below), whose sum is σ = 39929760. Its totient is φ = 10033920.

The previous prime is 20905331. The next prime is 20905337. The reversal of 20905335 is 53350902.

It is not a de Polignac number, because 20905335 - 22 = 20905331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20905299 and 20905308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20905331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77581 + ... + 77849.

It is an arithmetic number, because the mean of its divisors is an integer number (831870).

Almost surely, 220905335 is an apocalyptic number.

20905335 is a deficient number, since it is larger than the sum of its proper divisors (19024425).

20905335 is a wasteful number, since it uses less digits than its factorization.

20905335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 20905335 is about 4572.2352301692. The cubic root of 20905335 is about 275.4772319440.

The spelling of 20905335 in words is "twenty million, nine hundred five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 157 165 269 471 495 785 807 1345 1413 1727 2355 2421 2959 4035 5181 7065 8635 8877 12105 14795 15543 25905 26631 42233 44385 77715 126699 133155 211165 380097 464563 633495 1393689 1900485 2322815 4181067 6968445 20905335