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1115240256 = 263213178761
BaseRepresentation
bin100001001111001…
…0011011101000000
32212201112002000200
41002132103131000
54241000142011
6302355245200
736431246214
oct10236233500
92781462020
101115240256
11522584569
122715a9800
1314a0887a0
14a8188944
1567d96856
hex42793740

1115240256 has 168 divisors, whose sum is σ = 3645447624. Its totient is φ = 322928640.

The previous prime is 1115240251. The next prime is 1115240267. The reversal of 1115240256 is 6520425111.

1115240256 is a `hidden beast` number, since 111 + 524 + 0 + 25 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 1104897600 = 3216^2 + 33240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115240251) 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 23 ways as a sum of consecutive naturals, for example, 122916 + ... + 131676.

It is an arithmetic number, because the mean of its divisors is an integer number (21699093).

Almost surely, 21115240256 is an apocalyptic number.

1115240256 is a gapful number since it is divisible by the number (16) 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 1115240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822723812).

1115240256 is an abundant number, since it is smaller than the sum of its proper divisors (2530207368).

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

1115240256 is a wasteful number, since it uses less digits than its factorization.

1115240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1115240256 is about 33395.2130701393. The cubic root of 1115240256 is about 1037.0256039122.

Adding to 1115240256 its reverse (6520425111), we get a palindrome (7635665367).

The spelling of 1115240256 in words is "one billion, one hundred fifteen million, two hundred forty thousand, two hundred fifty-six".