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20982016 = 28117451
BaseRepresentation
bin101000000001…
…0100100000000
31110110222220201
41100002210000
520332411031
62025414544
7343226026
oct120024400
943428821
1020982016
1110931110
12703a454
1344683c3
142b02716
151c96d61
hex1402900

20982016 has 36 divisors (see below), whose sum is σ = 45695664. Its totient is φ = 9536000.

The previous prime is 20982001. The next prime is 20982019. The reversal of 20982016 is 61028902.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20982019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 910 + ... + 6541.

It is an arithmetic number, because the mean of its divisors is an integer number (1269324).

Almost surely, 220982016 is an apocalyptic number.

It is an amenable number.

20982016 is an abundant number, since it is smaller than the sum of its proper divisors (24713648).

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

20982016 is an equidigital number, since it uses as much as digits as its factorization.

20982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 20982016 is about 4580.6130594059. The cubic root of 20982016 is about 275.8136388085.

It can be divided in two parts, 2098 and 2016, that added together give a palindrome (4114).

The spelling of 20982016 in words is "twenty million, nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 7451 14902 29804 59608 81961 119216 163922 238432 327844 476864 655688 953728 1311376 1907456 2622752 5245504 10491008 20982016