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16820328 = 2337214303
BaseRepresentation
bin100000000101…
…0100001101000
31011122120011010
41000022201220
513301222303
61400303520
7262653600
oct100124150
934576133
1016820328
1195493a8
125771ba0
13363c075
14233bc00
151723c03
hex100a868

16820328 has 48 divisors (see below), whose sum is σ = 48919680. Its totient is φ = 4805472.

The previous prime is 16820317. The next prime is 16820333. The reversal of 16820328 is 82302861.

It is a junction number, because it is equal to n+sod(n) for n = 16820295 and 16820304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5976 + ... + 8327.

It is an arithmetic number, because the mean of its divisors is an integer number (1019160).

Almost surely, 216820328 is an apocalyptic number.

It is an amenable number.

16820328 is an abundant number, since it is smaller than the sum of its proper divisors (32099352).

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

16820328 is a wasteful number, since it uses less digits than its factorization.

16820328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16820328 is about 4101.2593187947. The cubic root of 16820328 is about 256.2190914138.

It can be divided in two parts, 168 and 20328, that multiplied together give a square (3415104 = 18482).

The spelling of 16820328 in words is "sixteen million, eight hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 14303 28606 42909 57212 85818 100121 114424 171636 200242 300363 343272 400484 600726 700847 800968 1201452 1401694 2102541 2402904 2803388 4205082 5606776 8410164 16820328