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11089008 = 2433719193
BaseRepresentation
bin101010010011…
…010001110000
3202212101021000
4222103101300
510314322013
61033402000
7163153320
oct52232160
922771230
1011089008
116294377
123869300
1323b3458
141689280
15e90973
hexa93470

11089008 has 160 divisors (see below), whose sum is σ = 38489600. Its totient is φ = 2985984.

The previous prime is 11088997. The next prime is 11089009. The reversal of 11089008 is 80098011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57360 + ... + 57552.

It is an arithmetic number, because the mean of its divisors is an integer number (240560).

Almost surely, 211089008 is an apocalyptic number.

11089008 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 11089008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244800).

11089008 is an abundant number, since it is smaller than the sum of its proper divisors (27400592).

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

11089008 is a wasteful number, since it uses less digits than its factorization.

11089008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11089008 is about 3330.0162161767. The cubic root of 11089008 is about 222.9962529618.

The spelling of 11089008 in words is "eleven million, eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 193 216 228 252 266 304 336 342 378 386 399 432 456 504 513 532 579 684 756 772 798 912 1008 1026 1064 1158 1197 1351 1368 1512 1544 1596 1737 2052 2128 2316 2394 2702 2736 3024 3088 3192 3474 3591 3667 4053 4104 4632 4788 5211 5404 6384 6948 7182 7334 8106 8208 9264 9576 10422 10808 11001 12159 13896 14364 14668 16212 19152 20844 21616 22002 24318 25669 27792 28728 29336 32424 33003 36477 41688 44004 48636 51338 57456 58672 64848 66006 72954 77007 83376 88008 97272 99009 102676 132012 145908 154014 176016 194544 198018 205352 231021 264024 291816 308028 396036 410704 462042 528048 583632 616056 693063 792072 924084 1232112 1386126 1584144 1848168 2772252 3696336 5544504 11089008