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41332160 = 265227569
BaseRepresentation
bin1001110110101…
…0110111000000
32212202220001202
42131222313000
541040112120
64033520332
71011213632
oct235526700
985686052
1041332160
1121370511
1211a130a8
138741ccc
1456bca52
153966875
hex276adc0

41332160 has 56 divisors (see below), whose sum is σ = 99029520. Its totient is φ = 16431104.

The previous prime is 41332147. The next prime is 41332169. The reversal of 41332160 is 6123314.

41332160 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41332169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72356 + ... + 72924.

Almost surely, 241332160 is an apocalyptic number.

41332160 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 41332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49514760).

41332160 is an abundant number, since it is smaller than the sum of its proper divisors (57697360).

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

41332160 is a wasteful number, since it uses less digits than its factorization.

41332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 41332160 is about 6429.0092549319. The cubic root of 41332160 is about 345.7504074974.

Adding to 41332160 its reverse (6123314), we get a palindrome (47455474).

The spelling of 41332160 in words is "forty-one million, three hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 227 320 454 569 908 1135 1138 1816 2270 2276 2845 3632 4540 4552 5690 7264 9080 9104 11380 14528 18160 18208 22760 36320 36416 45520 72640 91040 129163 182080 258326 516652 645815 1033304 1291630 2066608 2583260 4133216 5166520 8266432 10333040 20666080 41332160