Search a number
-
+
41041 = 7111341
BaseRepresentation
bin1010000001010001
32002022001
422001101
52303131
6514001
7230440
oct120121
962261
1041041
1128920
121b901
13158b0
1410d57
15c261
hexa051

41041 has 16 divisors (see below), whose sum is σ = 56448. Its totient is φ = 28800.

The previous prime is 41039. The next prime is 41047. The reversal of 41041 is 14014.

Multipling 41041 by its product of nonzero digits (16), we get a palindrome (656656).

Adding to 41041 its reverse (14014), we get a palindrome (55055).

41041 = 562 + 572 + ... + 662.

41041 is a nontrivial binomial coefficient, being equal to C(287, 2).

It is a 2-Lehmer number, since φ(41041) divides (41041-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 41041 - 21 = 41039 is a prime.

It is an Ulam number.

It is a deceptive number, since it divides R41040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41047) 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 15 ways as a sum of consecutive naturals, for example, 981 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

It is a Poulet number, since it divides 241040-1.

241041 is an apocalyptic number.

41041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41041 is the 286-th triangular number.

41041 is the 96-th centered nonagonal number.

It is an amenable number.

41041 is a deficient number, since it is larger than the sum of its proper divisors (15407).

41041 is a wasteful number, since it uses less digits than its factorization.

41041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 41041 is about 202.5857842989. The cubic root of 41041 is about 34.4936626321.

The spelling of 41041 in words is "forty-one thousand, forty-one", and thus it is an iban number.

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 41041