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41540 = 2253167
BaseRepresentation
bin1010001001000100
32002222112
422021010
52312130
6520152
7232052
oct121104
962875
1041540
1129234
1220058
1315ba5
14111d2
15c495
hexa244

41540 has 24 divisors (see below), whose sum is σ = 91392. Its totient is φ = 15840.

The previous prime is 41539. The next prime is 41543. The reversal of 41540 is 4514.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41540.

It is not an unprimeable number, because it can be changed into a prime (41543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 587 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (3808).

241540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696).

41540 is an abundant number, since it is smaller than the sum of its proper divisors (49852).

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

41540 is a wasteful number, since it uses less digits than its factorization.

41540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 41540 is about 203.8136403679. The cubic root of 41540 is about 34.6328977540.

The spelling of 41540 in words is "forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 670 1340 2077 4154 8308 10385 20770 41540