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11795136 = 263232671
BaseRepresentation
bin101100111111…
…101011000000
3211012020212220
4230333223000
511004421021
61100451040
7202154103
oct54775300
924166786
1011795136
116726951
123b49a80
13259c992
1417d073a
15107ecc6
hexb3fac0

11795136 has 56 divisors (see below), whose sum is σ = 32577024. Its totient is φ = 3759360.

The previous prime is 11795117. The next prime is 11795171. The reversal of 11795136 is 63159711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11795097 and 11795106.

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 7 ways as a sum of consecutive naturals, for example, 3081 + ... + 5751.

Almost surely, 211795136 is an apocalyptic number.

11795136 is a gapful number since it is divisible by the number (16) 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 11795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288512).

11795136 is an abundant number, since it is smaller than the sum of its proper divisors (20781888).

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

11795136 is a wasteful number, since it uses less digits than its factorization.

11795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2699 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 11795136 is about 3434.4047519184. The cubic root of 11795136 is about 227.6325259322.

The spelling of 11795136 in words is "eleven million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2671 4416 5342 8013 10684 16026 21368 32052 42736 61433 64104 85472 122866 128208 170944 184299 245732 256416 368598 491464 512832 737196 982928 1474392 1965856 2948784 3931712 5897568 11795136