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20728188 = 22321323407
BaseRepresentation
bin100111100010…
…0100101111100
31110000002201200
41033010211330
520301300223
62020135500
7341121015
oct117044574
943002650
1020728188
1110778438
126b37590
1343a9a00
142a7800c
151c46a43
hex13c497c

20728188 has 54 divisors (see below), whose sum is σ = 56753424. Its totient is φ = 6376032.

The previous prime is 20728159. The next prime is 20728199. The reversal of 20728188 is 88182702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4381 + ... + 7787.

Almost surely, 220728188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20728188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28376712).

20728188 is an abundant number, since it is smaller than the sum of its proper divisors (36025236).

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

20728188 is a wasteful number, since it uses less digits than its factorization.

20728188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 20728188 is about 4552.8219820239. The cubic root of 20728188 is about 274.6969134640.

The spelling of 20728188 in words is "twenty million, seven hundred twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3407 6084 6814 10221 13628 20442 30663 40884 44291 61326 88582 122652 132873 177164 265746 398619 531492 575783 797238 1151566 1594476 1727349 2303132 3454698 5182047 6909396 10364094 20728188