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41220 = 22325229
BaseRepresentation
bin1010000100000100
32002112200
422010010
52304340
6514500
7231114
oct120404
962480
1041220
1128a73
121ba30
13159ba
1411044
15c330
hexa104

41220 has 36 divisors (see below), whose sum is σ = 125580. Its totient is φ = 10944.

The previous prime is 41213. The next prime is 41221. The reversal of 41220 is 2214.

Adding to 41220 its reverse (2214), we get a palindrome (43434).

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 12996 = 168^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 15.

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 41220.

It is not an unprimeable number, because it can be changed into a prime (41221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 294.

241220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62790).

41220 is an abundant number, since it is smaller than the sum of its proper divisors (84360).

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

41220 is a wasteful number, since it uses less digits than its factorization.

41220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 41220 is about 203.0270917883. The cubic root of 41220 is about 34.5437378480.

The spelling of 41220 in words is "forty-one thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220