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20328282 = 23213109797
BaseRepresentation
bin100110110001…
…0111101011010
31102020210011100
41031202331122
520201001112
62003412230
7334534062
oct115427532
942223140
1020328282
1110524a37
126984076
134299990
1429b23a2
151bb82dc
hex1362f5a

20328282 has 48 divisors (see below), whose sum is σ = 47927880. Its totient is φ = 6189696.

The previous prime is 20328257. The next prime is 20328307. The reversal of 20328282 is 28282302.

It is an interprime number because it is at equal distance from previous prime (20328257) and next prime (20328307).

It can be written as a sum of positive squares in 4 ways, for example, as 15752961 + 4575321 = 3969^2 + 2139^2 .

It is a super-3 number, since 3×203282823 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25108 + ... + 25904.

Almost surely, 220328282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20328282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23963940).

20328282 is an abundant number, since it is smaller than the sum of its proper divisors (27599598).

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

20328282 is a wasteful number, since it uses less digits than its factorization.

20328282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20328282 is about 4508.6896100752. The cubic root of 20328282 is about 272.9188665233.

The spelling of 20328282 in words is "twenty million, three hundred twenty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 797 981 1417 1594 1962 2391 2834 4251 4782 7173 8502 10361 12753 14346 20722 25506 31083 62166 86873 93249 173746 186498 260619 521238 781857 1129349 1563714 2258698 3388047 6776094 10164141 20328282