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11695216 = 241359953
BaseRepresentation
bin101100100111…
…010001110000
3211000011211011
4230213101300
510443221331
61054400304
7201256561
oct54472160
924004734
1011695216
116668875
123b00094
132566360
1417a6168
1510603b1
hexb27470

11695216 has 40 divisors (see below), whose sum is σ = 24842160. Its totient is φ = 5300736.

The previous prime is 11695171. The next prime is 11695231. The reversal of 11695216 is 61259611.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11796 + ... + 12748.

It is an arithmetic number, because the mean of its divisors is an integer number (621054).

Almost surely, 211695216 is an apocalyptic number.

11695216 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 11695216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421080).

11695216 is an abundant number, since it is smaller than the sum of its proper divisors (13146944).

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

11695216 is a wasteful number, since it uses less digits than its factorization.

11695216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1027 counting only the distinct ones).

The product of its digits is 3240, while the sum is 31.

The square root of 11695216 is about 3419.8268962040. The cubic root of 11695216 is about 226.9879220158.

It can be divided in two parts, 11695 and 216, that added together give a palindrome (11911).

The spelling of 11695216 in words is "eleven million, six hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 767 944 953 1534 1906 3068 3812 6136 7624 12272 12389 15248 24778 49556 56227 99112 112454 198224 224908 449816 730951 899632 1461902 2923804 5847608 11695216