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2241040 = 245109257
BaseRepresentation
bin1000100011001000010000
311012212010111
420203020100
51033203130
6120011104
725022434
oct10431020
94185114
102241040
1112a07aa
12900a94
13606079
144249c4
152e402a
hex223210

2241040 has 40 divisors (see below), whose sum is σ = 5278680. Its totient is φ = 884736.

The previous prime is 2241037. The next prime is 2241047. The reversal of 2241040 is 401422.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 1192464 = 1024^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2241040.

It is not an unprimeable number, because it can be changed into a prime (2241047) 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, 8592 + ... + 8848.

It is an arithmetic number, because the mean of its divisors is an integer number (131967).

22241040 is an apocalyptic number.

2241040 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 2241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639340).

2241040 is an abundant number, since it is smaller than the sum of its proper divisors (3037640).

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

2241040 is a wasteful number, since it uses less digits than its factorization.

2241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2241040 is about 1497.0103540056. The cubic root of 2241040 is about 130.8628987326.

Adding to 2241040 its reverse (401422), we get a palindrome (2642462).

The spelling of 2241040 in words is "two million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 257 436 514 545 872 1028 1090 1285 1744 2056 2180 2570 4112 4360 5140 8720 10280 20560 28013 56026 112052 140065 224104 280130 448208 560260 1120520 2241040