Search a number
-
+
41141020 = 22517235261
BaseRepresentation
bin1001110011110…
…0001100011100
32212102011212111
42130330030130
541013003040
64025443404
71006456444
oct234741434
985364774
1041141020
112124a948
1211940564
1386a5ccb
14566d124
153929dea
hex273c31c

41141020 has 48 divisors (see below), whose sum is σ = 95473728. Its totient is φ = 14812160.

The previous prime is 41141017. The next prime is 41141039. The reversal of 41141020 is 2014114.

41141020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5190 + ... + 10450.

It is an arithmetic number, because the mean of its divisors is an integer number (1989036).

Almost surely, 241141020 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 41141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736864).

41141020 is an abundant number, since it is smaller than the sum of its proper divisors (54332708).

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

41141020 is a wasteful number, since it uses less digits than its factorization.

41141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 41141020 is about 6414.1265968174. The cubic root of 41141020 is about 345.2166111524.

Adding to 41141020 its reverse (2014114), we get a palindrome (43155134).

The spelling of 41141020 in words is "forty-one million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 5261 7820 10522 21044 26305 52610 89437 105220 121003 178874 242006 357748 447185 484012 605015 894370 1210030 1788740 2057051 2420060 4114102 8228204 10285255 20570510 41141020