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11806319 = 731411327
BaseRepresentation
bin101101000010…
…011001101111
3211012211020002
4231002121233
511010300234
61101014515
7202231520
oct55023157
924184202
1011806319
116734298
123b5443b
1325a4ab5
1417d4847
15108327e
hexb4266f

11806319 has 16 divisors (see below), whose sum is σ = 14278656. Its totient is φ = 9547200.

The previous prime is 11806297. The next prime is 11806339. The reversal of 11806319 is 91360811.

It is a happy number.

11806319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11806319 - 28 = 11806063 is a prime.

It is a super-2 number, since 2×118063192 = 278778336659522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11806291 and 11806300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806339) 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 15 ways as a sum of consecutive naturals, for example, 8234 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (892416).

Almost surely, 211806319 is an apocalyptic number.

11806319 is a deficient number, since it is larger than the sum of its proper divisors (2472337).

11806319 is a wasteful number, since it uses less digits than its factorization.

11806319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 11806319 is about 3436.0324503706. The cubic root of 11806319 is about 227.7044428778.

The spelling of 11806319 in words is "eleven million, eight hundred six thousand, three hundred nineteen".

Divisors: 1 7 31 41 217 287 1271 1327 8897 9289 41137 54407 287959 380849 1686617 11806319