Search a number
-
+
41298660 = 22345133753
BaseRepresentation
bin1001110110001…
…0101011100100
32212201012010000
42131202223210
541033024120
64033101300
71011014154
oct235425344
985635100
1041298660
1121348327
12119b7830
13872c9a0
1456b0764
15395b990
hex2762ae4

41298660 has 240 divisors, whose sum is σ = 145995696. Its totient is φ = 9704448.

The previous prime is 41298659. The next prime is 41298671. The reversal of 41298660 is 6689214.

41298660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 236196 + 41062464 = 486^2 + 6408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 779194 + ... + 779246.

Almost surely, 241298660 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 41298660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

41298660 is an abundant number, since it is smaller than the sum of its proper divisors (104697036).

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

41298660 is a wasteful number, since it uses less digits than its factorization.

41298660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41298660 is about 6426.4033486858. The cubic root of 41298660 is about 345.6569712214.

The spelling of 41298660 in words is "forty-one million, two hundred ninety-eight thousand, six hundred sixty".