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41130 = 2325457
BaseRepresentation
bin1010000010101010
32002102100
422002222
52304010
6514230
7230625
oct120252
962370
1041130
11289a1
121b976
131594b
1410dbc
15c2c0
hexa0aa

41130 has 24 divisors (see below), whose sum is σ = 107172. Its totient is φ = 10944.

The previous prime is 41117. The next prime is 41131. The reversal of 41130 is 3114.

41130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 729 = 201^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

41130 is strictly pandigital in base 6.

It is a Curzon number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (41131) by changing a digit.

41130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 318.

241130 is an apocalyptic number.

41130 is an abundant number, since it is smaller than the sum of its proper divisors (66042).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53586).

41130 is a wasteful number, since it uses less digits than its factorization.

41130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 41130 is about 202.8053253739. The cubic root of 41130 is about 34.5185785253.

Adding to 41130 its reverse (3114), we get a palindrome (44244).

It can be divided in two parts, 411 and 30, that added together give a square (441 = 212).

The spelling of 41130 in words is "forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 457 914 1371 2285 2742 4113 4570 6855 8226 13710 20565 41130