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1106028 = 2233721119
BaseRepresentation
bin100001110000001101100
32002012012000
410032001230
5240343103
635412300
712254400
oct4160154
92065160
101106028
11695a80
12454090
132c9571
1420b100
1516caa3
hex10e06c

1106028 has 144 divisors (see below), whose sum is σ = 3830400. Its totient is φ = 272160.

The previous prime is 1105999. The next prime is 1106029. The reversal of 1106028 is 8206011.

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 1106028.

It is not an unprimeable number, because it can be changed into a prime (1106029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58203 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

21106028 is an apocalyptic number.

1106028 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 1106028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915200).

1106028 is an abundant number, since it is smaller than the sum of its proper divisors (2724372).

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

1106028 is a wasteful number, since it uses less digits than its factorization.

1106028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1106028 is about 1051.6786581461. The cubic root of 1106028 is about 103.4162313162.

The spelling of 1106028 in words is "one million, one hundred six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 27 28 33 36 38 42 44 49 54 57 63 66 76 77 84 98 99 108 114 126 132 133 147 154 171 189 196 198 209 228 231 252 266 294 297 308 342 378 396 399 418 441 462 513 532 539 588 594 627 684 693 756 798 836 882 924 931 1026 1078 1188 1197 1254 1323 1386 1463 1596 1617 1764 1862 1881 2052 2079 2156 2394 2508 2646 2772 2793 2926 3234 3591 3724 3762 4158 4389 4788 4851 5292 5586 5643 5852 6468 7182 7524 8316 8379 8778 9702 10241 11172 11286 13167 14364 14553 16758 17556 19404 20482 22572 25137 26334 29106 30723 33516 39501 40964 50274 52668 58212 61446 79002 92169 100548 122892 158004 184338 276507 368676 553014 1106028