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2041240032 = 253213545203
BaseRepresentation
bin111100110101010…
…1101100111100000
312021020221201220200
41321222231213200
513140024140112
6534314505200
7101404153056
oct17152554740
95236851820
102041240032
11958254937
1248b735200
13266b86450
141551521d6
15be30bcdc
hex79aad9e0

2041240032 has 72 divisors (see below), whose sum is σ = 6251309064. Its totient is φ = 628072704.

The previous prime is 2041240027. The next prime is 2041240037. The reversal of 2041240032 is 2300421402.

It is an interprime number because it is at equal distance from previous prime (2041240027) and next prime (2041240037).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20412400322 = 8333321736478722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2041239987 and 2041240014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041240037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268858 + ... + 276345.

It is an arithmetic number, because the mean of its divisors is an integer number (86823737).

Almost surely, 22041240032 is an apocalyptic number.

It is an amenable number.

2041240032 is an abundant number, since it is smaller than the sum of its proper divisors (4210069032).

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

2041240032 is a wasteful number, since it uses less digits than its factorization.

2041240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545232 (or 545221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2041240032 is about 45180.0844620724. The cubic root of 2041240032 is about 1268.5220644119.

Adding to 2041240032 its reverse (2300421402), we get a palindrome (4341661434).

The spelling of 2041240032 in words is "two billion, forty-one million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 545203 1090406 1635609 2180812 3271218 4361624 4906827 6542436 7087639 8723248 9813654 13084872 14175278 17446496 19627308 21262917 26169744 28350556 39254616 42525834 52339488 56701112 63788751 78509232 85051668 113402224 127577502 157018464 170103336 226804448 255155004 340206672 510310008 680413344 1020620016 2041240032