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20390328 = 23327231759
BaseRepresentation
bin100110111001…
…0000110111000
31102100221021100
41031302012320
520204442303
62005011400
7335213010
oct115620670
942327240
1020390328
1110567612
1269b3b60
1342bbcaa
1429cac40
151bcb8a3
hex13721b8

20390328 has 96 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 5569344.

The previous prime is 20390323. The next prime is 20390329. The reversal of 20390328 is 82309302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20390323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10713 + ... + 12471.

It is an arithmetic number, because the mean of its divisors is an integer number (686400).

Almost surely, 220390328 is an apocalyptic number.

20390328 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 20390328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947200).

20390328 is an abundant number, since it is smaller than the sum of its proper divisors (45504072).

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

20390328 is a wasteful number, since it uses less digits than its factorization.

20390328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20390328 is about 4515.5650809173. The cubic root of 20390328 is about 273.1962522361.

The spelling of 20390328 in words is "twenty million, three hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1759 1932 2898 3518 3864 5277 5796 7036 10554 11592 12313 14072 15831 21108 24626 31662 36939 40457 42216 49252 63324 73878 80914 98504 110817 121371 126648 147756 161828 221634 242742 283199 295512 323656 364113 443268 485484 566398 728226 849597 886536 970968 1132796 1456452 1699194 2265592 2548791 2912904 3398388 5097582 6796776 10195164 20390328