Search a number
-
+
20526561 = 3311261103
BaseRepresentation
bin100111001001…
…1010111100001
31102121212011000
41032103113201
520223322221
62011542213
7336321126
oct116232741
942555130
1020526561
111064aa00
126a5a969
134338cc3
142a2474d
151c06e26
hex13935e1

20526561 has 48 divisors (see below), whose sum is σ = 34303360. Its totient is φ = 12117600.

The previous prime is 20526551. The next prime is 20526607. The reversal of 20526561 is 16562502.

20526561 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 656 + 1 = 666.

It is not a de Polignac number, because 20526561 - 29 = 20526049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20526551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199236 + ... + 199338.

Almost surely, 220526561 is an apocalyptic number.

It is an amenable number.

20526561 is a deficient number, since it is larger than the sum of its proper divisors (13776799).

20526561 is a wasteful number, since it uses less digits than its factorization.

20526561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20526561 is about 4530.6247913505. The cubic root of 20526561 is about 273.8033335755.

The spelling of 20526561 in words is "twenty million, five hundred twenty-six thousand, five hundred sixty-one".

Divisors: 1 3 9 11 27 33 61 99 103 121 183 297 309 363 549 671 927 1089 1133 1647 2013 2781 3267 3399 6039 6283 7381 10197 12463 18117 18849 22143 30591 37389 56547 66429 69113 112167 169641 199287 207339 336501 622017 760243 1866051 2280729 6842187 20526561