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20358928 = 241729289
BaseRepresentation
bin100110110101…
…0011100010000
31102022100012101
41031222130100
520202441203
62004210144
7335022322
oct115523420
942270171
1020358928
1110545a67
126999954
1342aa905
1429bd612
151bc241d
hex136a710

20358928 has 60 divisors (see below), whose sum is σ = 43741620. Its totient is φ = 9146368.

The previous prime is 20358901. The next prime is 20358929. The reversal of 20358928 is 82985302.

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 20358144 = 28^2 + 4512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20358929) 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 11 ways as a sum of consecutive naturals, for example, 228708 + ... + 228796.

It is an arithmetic number, because the mean of its divisors is an integer number (729027).

Almost surely, 220358928 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 20358928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870810).

20358928 is an abundant number, since it is smaller than the sum of its proper divisors (23382692).

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

20358928 is a wasteful number, since it uses less digits than its factorization.

20358928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 20358928 is about 4512.0868785962. The cubic root of 20358928 is about 273.0559443820.

The spelling of 20358928 in words is "twenty million, three hundred fifty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 89 116 136 178 232 272 356 464 493 712 841 986 1424 1513 1682 1972 2581 3026 3364 3944 5162 6052 6728 7888 10324 12104 13456 14297 20648 24208 28594 41296 43877 57188 74849 87754 114376 149698 175508 228752 299396 351016 598792 702032 1197584 1272433 2544866 5089732 10179464 20358928