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11332120 = 235283303
BaseRepresentation
bin101011001110…
…101000011000
3210022201202011
4223032220120
510400111440
61042515304
7165215152
oct53165030
923281664
1011332120
11643aa98
123965b34
132469cc7
14170dad2
15edc9ea
hexacea18

11332120 has 16 divisors (see below), whose sum is σ = 25497360. Its totient is φ = 4532832.

The previous prime is 11332117. The next prime is 11332121. The reversal of 11332120 is 2123311.

It is a self number, because there is not a number n which added to its sum of digits gives 11332120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332121) 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 3 ways as a sum of consecutive naturals, for example, 141612 + ... + 141691.

It is an arithmetic number, because the mean of its divisors is an integer number (1593585).

Almost surely, 211332120 is an apocalyptic number.

11332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332120 is an abundant number, since it is smaller than the sum of its proper divisors (14165240).

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

11332120 is a wasteful number, since it uses less digits than its factorization.

11332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283314 (or 283310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11332120 is about 3366.3214344444. The cubic root of 11332120 is about 224.6141204802.

Adding to 11332120 its reverse (2123311), we get a palindrome (13455431).

The spelling of 11332120 in words is "eleven million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 283303 566606 1133212 1416515 2266424 2833030 5666060 11332120