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10528280 = 2357191979
BaseRepresentation
bin101000001010…
…011000011000
3201210220002022
4220022120120
510143401110
61013354012
7155326460
oct50123030
921726068
1010528280
115a41064
123638908
132248169
141580ba0
15dce755
hexa0a618

10528280 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 3417984.

The previous prime is 10528237. The next prime is 10528289. The reversal of 10528280 is 8282501.

It is a super-2 number, since 2×105282802 = 221689359516800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4331 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 210528280 is an apocalyptic number.

10528280 is a gapful number since it is divisible by the number (10) 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 10528280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

10528280 is an abundant number, since it is smaller than the sum of its proper divisors (17983720).

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

10528280 is a wasteful number, since it uses less digits than its factorization.

10528280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10528280 is about 3244.7311136672. The cubic root of 10528280 is about 219.1723725104.

The spelling of 10528280 in words is "ten million, five hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 1979 2660 3958 5320 7916 9895 13853 15832 19790 27706 37601 39580 55412 69265 75202 79160 110824 138530 150404 188005 263207 277060 300808 376010 526414 554120 752020 1052828 1316035 1504040 2105656 2632070 5264140 10528280