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11090820 = 22351359241
BaseRepresentation
bin101010010011…
…101110000100
3202212110202010
4222103232010
510314401240
61033414220
7163161516
oct52235604
922773663
1011090820
116295774
12386a370
1323b4220
141689bb6
15e91280
hexa93b84

11090820 has 96 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 2672640.

The previous prime is 11090819. The next prime is 11090831. The reversal of 11090820 is 2809011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45900 + ... + 46140.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 211090820 is an apocalyptic number.

11090820 is a gapful number since it is divisible by the number (10) 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 11090820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

11090820 is an abundant number, since it is smaller than the sum of its proper divisors (23060220).

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

11090820 is a wasteful number, since it uses less digits than its factorization.

11090820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11090820 is about 3330.2882758104. The cubic root of 11090820 is about 223.0083985388.

Adding to 11090820 its reverse (2809011), we get a palindrome (13899831).

The spelling of 11090820 in words is "eleven million, ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 118 130 156 177 195 236 241 260 295 354 390 482 590 708 723 767 780 885 964 1180 1205 1446 1534 1770 2301 2410 2892 3068 3133 3540 3615 3835 4602 4820 6266 7230 7670 9204 9399 11505 12532 14219 14460 15340 15665 18798 23010 28438 31330 37596 42657 46020 46995 56876 62660 71095 85314 93990 142190 170628 184847 187980 213285 284380 369694 426570 554541 739388 853140 924235 1109082 1848470 2218164 2772705 3696940 5545410 11090820