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20410128 = 2432413457
BaseRepresentation
bin100110111011…
…0111100010000
31102101221102200
41031312330100
520211111003
62005243200
7335324514
oct115667420
942357380
1020410128
1110580482
126a03500
1342c7ccb
1429d4144
151bd26a3
hex1376f10

20410128 has 60 divisors (see below), whose sum is σ = 58530108. Its totient is φ = 6635520.

The previous prime is 20410111. The next prime is 20410129. The reversal of 20410128 is 82101402.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 19820304 = 768^2 + 4452^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20410128.

It is not an unprimeable number, because it can be changed into a prime (20410129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4176 + ... + 7632.

Almost surely, 220410128 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 20410128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265054).

20410128 is an abundant number, since it is smaller than the sum of its proper divisors (38119980).

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

20410128 is a wasteful number, since it uses less digits than its factorization.

20410128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20410128 is about 4517.7569655748. The cubic root of 20410128 is about 273.2846525771.

The spelling of 20410128 in words is "twenty million, four hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 3457 5904 6914 10371 13828 20742 27656 31113 41484 55312 62226 82968 124452 141737 165936 248904 283474 425211 497808 566948 850422 1133896 1275633 1700844 2267792 2551266 3401688 5102532 6803376 10205064 20410128