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10522728 = 2332178597
BaseRepresentation
bin101000001001…
…000001101000
3201210121110200
4220021001220
510143211403
61013312200
7155304336
oct50110150
921717420
1010522728
115a37977
123635660
132245788
14157cb56
15dccca3
hexa09068

10522728 has 48 divisors (see below), whose sum is σ = 30178980. Its totient is φ = 3300864.

The previous prime is 10522723. The next prime is 10522739. The reversal of 10522728 is 82722501.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 675684 = 3138^2 + 822^2 .

It is a super-2 number, since 2×105227282 = 221455609123968, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10522723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3075 + ... + 5522.

Almost surely, 210522728 is an apocalyptic number.

10522728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10522728 is an abundant number, since it is smaller than the sum of its proper divisors (19656252).

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

10522728 is a wasteful number, since it uses less digits than its factorization.

10522728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10522728 is about 3243.8754600015. The cubic root of 10522728 is about 219.1338394998.

The spelling of 10522728 in words is "ten million, five hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8597 17194 25791 34388 51582 68776 77373 103164 146149 154746 206328 292298 309492 438447 584596 618984 876894 1169192 1315341 1753788 2630682 3507576 5261364 10522728