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41020 = 2257293
BaseRepresentation
bin1010000000111100
32002021021
422000330
52303040
6513524
7230410
oct120074
962237
1041020
1128901
121b8a4
1315895
1410d40
15c24a
hexa03c

41020 has 24 divisors (see below), whose sum is σ = 98784. Its totient is φ = 14016.

The previous prime is 41017. The next prime is 41023. The reversal of 41020 is 2014.

It is an interprime number because it is at equal distance from previous prime (41017) and next prime (41023).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 40994 and 41012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

241020 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 41020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392).

41020 is an abundant number, since it is smaller than the sum of its proper divisors (57764).

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

41020 is a wasteful number, since it uses less digits than its factorization.

41020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 41020 is about 202.5339477717. The cubic root of 41020 is about 34.4877783497.

Adding to 41020 its reverse (2014), we get a palindrome (43034).

It can be divided in two parts, 4 and 1020, that added together give a 10-th power (1024 = 210).

The spelling of 41020 in words is "forty-one thousand, twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1172 1465 2051 2930 4102 5860 8204 10255 20510 41020