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20327840 = 2551329337
BaseRepresentation
bin100110110001…
…0110110100000
31102020202112222
41031202312200
520200442330
62003410212
7334532561
oct115426640
942222488
1020327840
1110524675
126983968
134299710
1429b2168
151bb80e5
hex1362da0

20327840 has 96 divisors (see below), whose sum is σ = 53660880. Its totient is φ = 7225344.

The previous prime is 20327807. The next prime is 20327849. The reversal of 20327840 is 4872302.

It can be written as a sum of positive squares in 8 ways, for example, as 3254416 + 17073424 = 1804^2 + 4132^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (20327849) by changing a digit.

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, 60152 + ... + 60488.

Almost surely, 220327840 is an apocalyptic number.

20327840 is a gapful number since it is divisible by the number (20) 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 20327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

20327840 is an abundant number, since it is smaller than the sum of its proper divisors (33333040).

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

20327840 is a wasteful number, since it uses less digits than its factorization.

20327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 20327840 is about 4508.6405933496. The cubic root of 20327840 is about 272.9168884743.

The spelling of 20327840 in words is "twenty million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 337 377 416 464 520 580 674 754 928 1040 1160 1348 1508 1685 1885 2080 2320 2696 3016 3370 3770 4381 4640 5392 6032 6740 7540 8762 9773 10784 12064 13480 15080 17524 19546 21905 26960 30160 35048 39092 43810 48865 53920 60320 70096 78184 87620 97730 127049 140192 156368 175240 195460 254098 312736 350480 390920 508196 635245 700960 781840 1016392 1270490 1563680 2032784 2540980 4065568 5081960 10163920 20327840