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20563146 = 235291459
BaseRepresentation
bin100111001110…
…0010011001010
31102200201100000
41032130103022
520231010041
62012423430
7336532602
oct116342312
942621300
1020563146
111067543a
126a77b76
13434c856
142a33c02
151c12bb6
hex139c4ca

20563146 has 48 divisors (see below), whose sum is σ = 47829600. Its totient is φ = 6613488.

The previous prime is 20563141. The next prime is 20563163. The reversal of 20563146 is 64136502.

20563146 is a `hidden beast` number, since 20 + 5 + 631 + 4 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20563141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13365 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (996450).

Almost surely, 220563146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20563146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914800).

20563146 is an abundant number, since it is smaller than the sum of its proper divisors (27266454).

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

20563146 is a wasteful number, since it uses less digits than its factorization.

20563146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20563146 is about 4534.6605165106. The cubic root of 20563146 is about 273.9659058578.

Adding to 20563146 its reverse (64136502), we get a palindrome (84699648).

The spelling of 20563146 in words is "twenty million, five hundred sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1459 1566 2349 2918 4377 4698 7047 8754 13131 14094 26262 39393 42311 78786 84622 118179 126933 236358 253866 354537 380799 709074 761598 1142397 2284794 3427191 6854382 10281573 20563146