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2441040 = 243571453
BaseRepresentation
bin1001010011111101010000
311121000110220
421103331100
51111103130
6124153040
726514510
oct11237520
94530426
102441040
111417a98
12998780
13676104
14477840
15333410
hex253f50

2441040 has 80 divisors (see below), whose sum is σ = 8654208. Its totient is φ = 557568.

The previous prime is 2441029. The next prime is 2441041. The reversal of 2441040 is 401442.

2441040 = 1652 + 1662 + ... + 2272.

2441040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 2406.

22441040 is an apocalyptic number.

2441040 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 2441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327104).

2441040 is an abundant number, since it is smaller than the sum of its proper divisors (6213168).

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

2441040 is a wasteful number, since it uses less digits than its factorization.

2441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2441040 is about 1562.3827956042. The cubic root of 2441040 is about 134.6454344637.

Adding to 2441040 its reverse (401442), we get a palindrome (2842482).

The spelling of 2441040 in words is "two million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1453 1680 2906 4359 5812 7265 8718 10171 11624 14530 17436 20342 21795 23248 29060 30513 34872 40684 43590 50855 58120 61026 69744 81368 87180 101710 116240 122052 152565 162736 174360 203420 244104 305130 348720 406840 488208 610260 813680 1220520 2441040