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11612106 = 23311113173
BaseRepresentation
bin101100010010…
…111111001010
3210211221211000
4230102333022
510433041411
61052515430
7200462352
oct54227712
923757730
1011612106
116611390
123a7bb76
13253758c
141783b62
151045956
hexb12fca

11612106 has 64 divisors (see below), whose sum is σ = 28563840. Its totient is φ = 3467520.

The previous prime is 11612101. The next prime is 11612113. The reversal of 11612106 is 60121611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11612101) 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 31 ways as a sum of consecutive naturals, for example, 67036 + ... + 67208.

It is an arithmetic number, because the mean of its divisors is an integer number (446310).

Almost surely, 211612106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11612106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281920).

11612106 is an abundant number, since it is smaller than the sum of its proper divisors (16951734).

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

11612106 is a wasteful number, since it uses less digits than its factorization.

11612106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11612106 is about 3407.6540317350. The cubic root of 11612106 is about 226.4489600358.

Adding to 11612106 its reverse (60121611), we get a palindrome (71733717).

The spelling of 11612106 in words is "eleven million, six hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 113 173 198 226 297 339 346 519 594 678 1017 1038 1243 1557 1903 2034 2486 3051 3114 3729 3806 4671 5709 6102 7458 9342 11187 11418 17127 19549 22374 33561 34254 39098 51381 58647 67122 102762 117294 175941 215039 351882 430078 527823 645117 1055646 1290234 1935351 3870702 5806053 11612106