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1123230240 = 25345117879
BaseRepresentation
bin100001011110011…
…0010001000100000
32220021120000020000
41002330302020200
54300021331430
6303242420000
736556204506
oct10274621040
92807500200
101123230240
11527041560
12274201600
1314b9254a2
14a9268676
1568923e60
hex42f32220

1123230240 has 240 divisors, whose sum is σ = 4324985280. Its totient is φ = 272263680.

The previous prime is 1123230211. The next prime is 1123230247. The reversal of 1123230240 is 420323211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1123230247) 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 39 ways as a sum of consecutive naturals, for example, 138621 + ... + 146499.

It is an arithmetic number, because the mean of its divisors is an integer number (18020772).

Almost surely, 21123230240 is an apocalyptic number.

1123230240 is a gapful number since it is divisible by the number (10) 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 1123230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162492640).

1123230240 is an abundant number, since it is smaller than the sum of its proper divisors (3201755040).

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

1123230240 is a wasteful number, since it uses less digits than its factorization.

1123230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1123230240 is about 33514.6272543795. The cubic root of 1123230240 is about 1039.4962550542.

Adding to 1123230240 its reverse (420323211), we get a palindrome (1543553451).

The spelling of 1123230240 in words is "one billion, one hundred twenty-three million, two hundred thirty thousand, two hundred forty".