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11326120 = 2351323947
BaseRepresentation
bin101011001101…
…001010101000
3210022102111221
4223031022220
510344413440
61042431424
7165161521
oct53151250
923272457
1011326120
116436533
123962574
132467360
14170b848
15edad4a
hexacd2a8

11326120 has 64 divisors (see below), whose sum is σ = 28667520. Its totient is φ = 3995904.

The previous prime is 11326079. The next prime is 11326123. The reversal of 11326120 is 2162311.

It is a junction number, because it is equal to n+sod(n) for n = 11326094 and 11326103.

It is not an unprimeable number, because it can be changed into a prime (11326123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11487 + ... + 12433.

It is an arithmetic number, because the mean of its divisors is an integer number (447930).

Almost surely, 211326120 is an apocalyptic number.

11326120 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 11326120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333760).

11326120 is an abundant number, since it is smaller than the sum of its proper divisors (17341400).

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

11326120 is a wasteful number, since it uses less digits than its factorization.

11326120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11326120 is about 3365.4301359559. The cubic root of 11326120 is about 224.5744714517.

Adding to 11326120 its reverse (2162311), we get a palindrome (13488431).

The spelling of 11326120 in words is "eleven million, three hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 947 1196 1495 1894 2392 2990 3788 4735 5980 7576 9470 11960 12311 18940 21781 24622 37880 43562 49244 61555 87124 98488 108905 123110 174248 217810 246220 283153 435620 492440 566306 871240 1132612 1415765 2265224 2831530 5663060 11326120