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20728350 = 2325273631
BaseRepresentation
bin100111100010…
…0101000011110
31110000002221200
41033010220132
520301301400
62020140330
7341121336
oct117045036
943002850
1020728350
1110778575
126b376a6
1343a9ac6
142a780c6
151c46b00
hex13c4a1e

20728350 has 72 divisors (see below), whose sum is σ = 56542512. Its totient is φ = 5443200.

The previous prime is 20728339. The next prime is 20728387. The reversal of 20728350 is 5382702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32535 + ... + 33165.

Almost surely, 220728350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20728350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28271256).

20728350 is an abundant number, since it is smaller than the sum of its proper divisors (35814162).

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

20728350 is a wasteful number, since it uses less digits than its factorization.

20728350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20728350 is about 4552.8397731526. The cubic root of 20728350 is about 274.6976290883.

The spelling of 20728350 in words is "twenty million, seven hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 631 657 730 1095 1262 1314 1825 1893 2190 3155 3285 3650 3786 5475 5679 6310 6570 9465 10950 11358 15775 16425 18930 28395 31550 32850 46063 47325 56790 92126 94650 138189 141975 230315 276378 283950 414567 460630 690945 829134 1151575 1381890 2072835 2303150 3454725 4145670 6909450 10364175 20728350