Search a number
-
+
41910 = 23511127
BaseRepresentation
bin1010001110110110
32010111020
422032312
52320120
6522010
7233121
oct121666
963436
1041910
1129540
1220306
13160cb
14113b8
15c640
hexa3b6

41910 has 32 divisors (see below), whose sum is σ = 110592. Its totient is φ = 10080.

The previous prime is 41903. The next prime is 41911. The reversal of 41910 is 1914.

41910 = 152 + 162 + ... + 502.

41910 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 41910.

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 41910.

It is not an unprimeable number, because it can be changed into a prime (41911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

241910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296).

41910 is an abundant number, since it is smaller than the sum of its proper divisors (68682).

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

41910 is a wasteful number, since it uses less digits than its factorization.

41910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 41910 is about 204.7193200458. The cubic root of 41910 is about 34.7354199311.

The spelling of 41910 in words is "forty-one thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 1270 1397 1905 2794 3810 4191 6985 8382 13970 20955 41910