Search a number
-
+
41121360 = 24325741199
BaseRepresentation
bin1001110011011…
…1011001010000
32212101011220100
42130313121100
541011340420
64025212400
71006345230
oct234673120
985334810
1041121360
11212370a5
1211931100
13869a087
145665cc0
153924190
hex2737650

41121360 has 240 divisors, whose sum is σ = 162489600. Its totient is φ = 9123840.

The previous prime is 41121359. The next prime is 41121371. The reversal of 41121360 is 6312114.

It is a happy number.

41121360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 206541 + ... + 206739.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 241121360 is an apocalyptic number.

41121360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

41121360 is an abundant number, since it is smaller than the sum of its proper divisors (121368240).

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

41121360 is a wasteful number, since it uses less digits than its factorization.

41121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41121360 is about 6412.5938589622. The cubic root of 41121360 is about 345.1616130025.

Adding to 41121360 its reverse (6312114), we get a palindrome (47433474).

The spelling of 41121360 in words is "forty-one million, one hundred twenty-one thousand, three hundred sixty".