Search a number
-
+
41380660 = 2253122153
BaseRepresentation
bin1001110111011…
…0101100110100
32212212100121001
42131312230310
541043140120
64034533044
71011505216
oct235665464
985770531
1041380660
11213a39a2
1211a37184
13875b0c9
1456d25b6
153975e0a
hex2776b34

41380660 has 36 divisors (see below), whose sum is σ = 89834724. Its totient is φ = 16010880.

The previous prime is 41380643. The next prime is 41380667. The reversal of 41380660 is 6608314.

It can be written as a sum of positive squares in 2 ways, for example, as 8133904 + 33246756 = 2852^2 + 5766^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41380667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18144 + ... + 20296.

It is an arithmetic number, because the mean of its divisors is an integer number (2495409).

Almost surely, 241380660 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 41380660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44917362).

41380660 is an abundant number, since it is smaller than the sum of its proper divisors (48454064).

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

41380660 is a wasteful number, since it uses less digits than its factorization.

41380660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 41380660 is about 6432.7801143829. The cubic root of 41380660 is about 345.8855914965.

Adding to 41380660 its reverse (6608314), we get a palindrome (47988974).

The spelling of 41380660 in words is "forty-one million, three hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 2153 3844 4306 4805 8612 9610 10765 19220 21530 43060 66743 133486 266972 333715 667430 1334860 2069033 4138066 8276132 10345165 20690330 41380660