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2441140 = 2251341229
BaseRepresentation
bin1001010011111110110100
311121000121121
421103332310
51111104030
6124153324
726515012
oct11237664
94530547
102441140
111418079
12998844
13676180
144778b2
1533347a
hex253fb4

2441140 has 48 divisors (see below), whose sum is σ = 5680080. Its totient is φ = 875520.

The previous prime is 2441129. The next prime is 2441143. The reversal of 2441140 is 411442.

It can be written as a sum of positive squares in 8 ways, for example, as 197136 + 2244004 = 444^2 + 1498^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10546 + ... + 10774.

It is an arithmetic number, because the mean of its divisors is an integer number (118335).

22441140 is an apocalyptic number.

2441140 is a gapful number since it is divisible by the number (20) 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 2441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840040).

2441140 is an abundant number, since it is smaller than the sum of its proper divisors (3238940).

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

2441140 is a wasteful number, since it uses less digits than its factorization.

2441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2441140 is about 1562.4147976770. The cubic root of 2441140 is about 134.6472730734.

Adding to 2441140 its reverse (411442), we get a palindrome (2852582).

The spelling of 2441140 in words is "two million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 229 260 410 458 533 820 916 1066 1145 2132 2290 2665 2977 4580 5330 5954 9389 10660 11908 14885 18778 29770 37556 46945 59540 93890 122057 187780 244114 488228 610285 1220570 2441140