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11828144 = 246112119
BaseRepresentation
bin101101000111…
…101110110000
3211020221011102
4231013232300
511012000034
61101303532
7202352246
oct55075660
924227142
1011828144
116749729
123b64ba8
1325b1a03
1417dc796
15108997e
hexb47bb0

11828144 has 20 divisors (see below), whose sum is σ = 23294640. Its totient is φ = 5816640.

The previous prime is 11828137. The next prime is 11828171. The reversal of 11828144 is 44182811.

It is a happy number.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5084 + ... + 7035.

It is an arithmetic number, because the mean of its divisors is an integer number (1164732).

Almost surely, 211828144 is an apocalyptic number.

It is an amenable number.

11828144 is a deficient number, since it is larger than the sum of its proper divisors (11466496).

11828144 is a wasteful number, since it uses less digits than its factorization.

11828144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12182 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 11828144 is about 3439.2068853153. The cubic root of 11828144 is about 227.8446669485.

The spelling of 11828144 in words is "eleven million, eight hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 61 122 244 488 976 12119 24238 48476 96952 193904 739259 1478518 2957036 5914072 11828144