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11089890 = 2325729607
BaseRepresentation
bin101010010011…
…011111100010
3202212102110200
4222103133202
510314334030
61033410030
7163156020
oct52233742
922772420
1011089890
116294aa9
123869916
1323b3986
141689710
15e90d60
hexa937e2

11089890 has 96 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 2443392.

The previous prime is 11089877. The next prime is 11089891. The reversal of 11089890 is 9898011.

11089890 = T860 + T861 + ... + T888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17967 + ... + 18573.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 211089890 is an apocalyptic number.

11089890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11089890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

11089890 is an abundant number, since it is smaller than the sum of its proper divisors (23055390).

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

11089890 is a wasteful number, since it uses less digits than its factorization.

11089890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 11089890 is about 3330.1486453310. The cubic root of 11089890 is about 223.0021650470.

It can be divided in two parts, 110 and 89890, that added together give a square (90000 = 3002).

The spelling of 11089890 in words is "eleven million, eighty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 607 609 630 870 1015 1214 1218 1305 1821 1827 2030 2610 3035 3045 3642 3654 4249 5463 6070 6090 8498 9105 9135 10926 12747 17603 18210 18270 21245 25494 27315 35206 38241 42490 52809 54630 63735 76482 88015 105618 123221 127470 158427 176030 191205 246442 264045 316854 369663 382410 528090 616105 739326 792135 1108989 1232210 1584270 1848315 2217978 3696630 5544945 11089890