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20327328 = 253373361
BaseRepresentation
bin100110110001…
…0101110100000
31102020201212000
41031202232200
520200433303
62003404000
7334531230
oct115425640
942221760
1020327328
111052424a
126983600
134299408
1429b1cc0
151bb7da3
hex1362ba0

20327328 has 96 divisors (see below), whose sum is σ = 67777920. Its totient is φ = 5806080.

The previous prime is 20327311. The next prime is 20327353. The reversal of 20327328 is 82372302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 4368 + ... + 7728.

It is an arithmetic number, because the mean of its divisors is an integer number (706020).

Almost surely, 220327328 is an apocalyptic number.

20327328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20327328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33888960).

20327328 is an abundant number, since it is smaller than the sum of its proper divisors (47450592).

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

20327328 is a wasteful number, since it uses less digits than its factorization.

20327328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20327328 is about 4508.5838131280. The cubic root of 20327328 is about 272.9145971238.

The spelling of 20327328 in words is "twenty million, three hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 3361 6048 6722 10083 13444 20166 23527 26888 30249 40332 47054 53776 60498 70581 80664 90747 94108 107552 120996 141162 161328 181494 188216 211743 241992 282324 322656 362988 376432 423486 483984 564648 635229 725976 752864 846972 967968 1129296 1270458 1451952 1693944 2258592 2540916 2903904 3387888 5081832 6775776 10163664 20327328