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20633216 = 27331487
BaseRepresentation
bin100111010110…
…1011010000000
31102211021110012
41032231122000
520240230331
62014124052
7340244102
oct116553200
942737405
1020633216
111071304a
126ab0628
134375706
142a51572
151c2882b
hex13ad680

20633216 has 32 divisors (see below), whose sum is σ = 41314080. Its totient is φ = 10264320.

The previous prime is 20633177. The next prime is 20633237. The reversal of 20633216 is 61233602.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20633191 and 20633200.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 42125 + ... + 42611.

It is an arithmetic number, because the mean of its divisors is an integer number (1291065).

Almost surely, 220633216 is an apocalyptic number.

It is an amenable number.

20633216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

20633216 is an equidigital number, since it uses as much as digits as its factorization.

20633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 20633216 is about 4542.3799929112. The cubic root of 20633216 is about 274.2767374708.

Adding to 20633216 its reverse (61233602), we get a palindrome (81866818).

The spelling of 20633216 in words is "twenty million, six hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 331 487 662 974 1324 1948 2648 3896 5296 7792 10592 15584 21184 31168 42368 62336 161197 322394 644788 1289576 2579152 5158304 10316608 20633216