Search a number
-
+
11028528 = 243372521
BaseRepresentation
bin101010000100…
…100000110000
3202202022022000
4222010200300
510310403103
61032214000
7162512100
oct52044060
922668260
1011028528
116252995
12383a300
132391a74
141671200
15e7caa3
hexa84830

11028528 has 120 divisors (see below), whose sum is σ = 36894960. Its totient is φ = 3144960.

The previous prime is 11028509. The next prime is 11028547. The reversal of 11028528 is 82582011.

11028528 is a `hidden beast` number, since 110 + 28 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (11028509) and next prime (11028547).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20908 + ... + 21428.

It is an arithmetic number, because the mean of its divisors is an integer number (307458).

Almost surely, 211028528 is an apocalyptic number.

11028528 is a gapful number since it is divisible by the number (18) 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 11028528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447480).

11028528 is an abundant number, since it is smaller than the sum of its proper divisors (25866432).

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

11028528 is a wasteful number, since it uses less digits than its factorization.

11028528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11028528 is about 3320.9227633295. The cubic root of 11028528 is about 222.5901027995.

The spelling of 11028528 in words is "eleven million, twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 521 588 756 784 882 1008 1042 1176 1323 1512 1563 1764 2084 2352 2646 3024 3126 3528 3647 4168 4689 5292 6252 7056 7294 8336 9378 10584 10941 12504 14067 14588 18756 21168 21882 25008 25529 28134 29176 32823 37512 43764 51058 56268 58352 65646 75024 76587 87528 98469 102116 112536 131292 153174 175056 196938 204232 225072 229761 262584 306348 393876 408464 459522 525168 612696 689283 787752 919044 1225392 1378566 1575504 1838088 2757132 3676176 5514264 11028528