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41360 = 2451147
BaseRepresentation
bin1010000110010000
32002201212
422012100
52310420
6515252
7231404
oct120620
962655
1041360
1129090
121bb28
1315a97
1411104
15c3c5
hexa190

41360 has 40 divisors (see below), whose sum is σ = 107136. Its totient is φ = 14720.

The previous prime is 41357. The next prime is 41381. The reversal of 41360 is 6314.

Adding to 41360 its reverse (6314), we get a palindrome (47674).

41360 = T34 + T35 + ... + T65.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 857 + ... + 903.

241360 is an apocalyptic number.

41360 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 41360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

41360 is an abundant number, since it is smaller than the sum of its proper divisors (65776).

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

41360 is a wasteful number, since it uses less digits than its factorization.

41360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 41360 is about 203.3715811022. The cubic root of 41360 is about 34.5828018821.

The spelling of 41360 in words is "forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360