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20306328 = 2337120871
BaseRepresentation
bin100110101110…
…1100110011000
31102012200001020
41031131212120
520144300303
62003122440
7334413060
oct115354630
942180036
1020306328
111050a499
126973420
13428c9a3
1429a83a0
151bb1a53
hex135d998

20306328 has 32 divisors (see below), whose sum is σ = 58018560. Its totient is φ = 5801760.

The previous prime is 20306327. The next prime is 20306339. The reversal of 20306328 is 82360302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20306298 and 20306307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20306327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60268 + ... + 60603.

It is an arithmetic number, because the mean of its divisors is an integer number (1813080).

Almost surely, 220306328 is an apocalyptic number.

20306328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20306328 is an abundant number, since it is smaller than the sum of its proper divisors (37712232).

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

20306328 is a wasteful number, since it uses less digits than its factorization.

20306328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120887 (or 120883 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20306328 is about 4506.2543203863. The cubic root of 20306328 is about 272.8205827786.

The spelling of 20306328 in words is "twenty million, three hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 120871 241742 362613 483484 725226 846097 966968 1450452 1692194 2538291 2900904 3384388 5076582 6768776 10153164 20306328