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20506016 = 2519291163
BaseRepresentation
bin100111000111…
…0010110100000
31102120210222002
41032032112200
520222143031
62011303132
7336204206
oct116162640
942523862
1020506016
1110636523
126a4aaa8
13432c84b
142a1b076
151c00ccb
hex138e5a0

20506016 has 48 divisors (see below), whose sum is σ = 43999200. Its totient is φ = 9370368.

The previous prime is 20506009. The next prime is 20506019. The reversal of 20506016 is 61060502.

It is not an unprimeable number, because it can be changed into a prime (20506019) 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 7 ways as a sum of consecutive naturals, for example, 17051 + ... + 18213.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 220506016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999600).

20506016 is an abundant number, since it is smaller than the sum of its proper divisors (23493184).

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

20506016 is a wasteful number, since it uses less digits than its factorization.

20506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20506016 is about 4528.3568763957. The cubic root of 20506016 is about 273.7119533176.

Adding to 20506016 its reverse (61060502), we get a palindrome (81566518).

The spelling of 20506016 in words is "twenty million, five hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 1163 2204 2326 4408 4652 8816 9304 17632 18608 22097 33727 37216 44194 67454 88388 134908 176776 269816 353552 539632 640813 707104 1079264 1281626 2563252 5126504 10253008 20506016