41120 has 24 divisors (see below), whose sum is σ = 97524. Its totient is φ = 16384.

The previous prime is 41117. The next prime is 41131. The reversal of 41120 is 2114.

Adding to 41120 its reverse (2114), we get a palindrome (43234).

It can be divided in two parts, 41 and 120, that added together give a palindrome (161).

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 2704 = 196^2 + 52^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

41120 is an undulating number in base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 41098 and 41107.

It is an unprimeable number.

In principle, a polygon with 41120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 288.

2^{41120} is an apocalyptic number.

41120 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 41120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48762).

41120 is an abundant number, since it is smaller than the sum of its proper divisors (56404).

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

41120 is a wasteful number, since it uses less digits than its factorization.

41120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 41120 is about 202.7806696902. The cubic root of 41120 is about 34.5157807803.

The spelling of 41120 in words is "forty-one thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 514 1028 1285 2056 2570 4112 5140 8224 10280 20560 41120

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