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41106 = 23131731
BaseRepresentation
bin1010000010010010
32002101110
422002102
52303411
6514150
7230562
oct120222
962343
1041106
112897a
121b956
1315930
1410da2
15c2a6
hexa092

41106 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 11520.

The previous prime is 41081. The next prime is 41113. The reversal of 41106 is 60114.

It is a junction number, because it is equal to n+sod(n) for n = 41091 and 41100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

241106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

41106 is an abundant number, since it is smaller than the sum of its proper divisors (55662).

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

41106 is a wasteful number, since it uses less digits than its factorization.

41106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 41106 is about 202.7461466958. The cubic root of 41106 is about 34.5118631750.

The spelling of 41106 in words is "forty-one thousand, one hundred six".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 527 663 806 1054 1209 1326 1581 2418 3162 6851 13702 20553 41106