Search a number
-
+
41160 = 233573
BaseRepresentation
bin1010000011001000
32002110110
422003020
52304120
6514320
7231000
oct120310
962413
1041160
1128a19
121b9a0
1315972
1411000
15c2e0
hexa0c8

41160 has 64 divisors (see below), whose sum is σ = 144000. Its totient is φ = 9408.

The previous prime is 41149. The next prime is 41161. The reversal of 41160 is 6114.

Adding to 41160 its reverse (6114), we get a palindrome (47274).

41160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

41160 is strictly pandigital in base 6.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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 41160.

It is not an unprimeable number, because it can be changed into a prime (41161) by changing a digit.

41160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5877 + ... + 5883.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

241160 is an apocalyptic number.

41160 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 41160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

41160 is an abundant number, since it is smaller than the sum of its proper divisors (102840).

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

41160 is a wasteful number, since it uses less digits than its factorization.

41160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 41160 is about 202.8792744467. The cubic root of 41160 is about 34.5269690406.

The spelling of 41160 in words is "forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160