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1112305824 = 25337353521
BaseRepresentation
bin100001001001100…
…0111000010100000
32212111222222202000
41002103013002200
54234222241244
6302212324000
736364305060
oct10223070240
92774888660
101112305824
1152095a913
12270613600
1314959bc36
14a7a233a0
15679b7169
hex424c70a0

1112305824 has 192 divisors, whose sum is σ = 3725326080. Its totient is φ = 316293120.

The previous prime is 1112305813. The next prime is 1112305837. The reversal of 1112305824 is 4285032111.

It is a super-2 number, since 2×11123058242 = 2474448492208637952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134684 + ... + 2135204.

It is an arithmetic number, because the mean of its divisors is an integer number (19402740).

Almost surely, 21112305824 is an apocalyptic number.

1112305824 is a gapful number since it is divisible by the number (14) 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 1112305824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862663040).

1112305824 is an abundant number, since it is smaller than the sum of its proper divisors (2613020256).

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

1112305824 is a wasteful number, since it uses less digits than its factorization.

1112305824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1112305824 is about 33351.2492119860. The cubic root of 1112305824 is about 1036.1152607509.

Adding to 1112305824 its reverse (4285032111), we get a palindrome (5397337935).

It can be divided in two parts, 1112 and 305824, that added together give a triangular number (306936 = T783).

The spelling of 1112305824 in words is "one billion, one hundred twelve million, three hundred five thousand, eight hundred twenty-four".