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1116421824 = 263717131373
BaseRepresentation
bin100001010001011…
…0011111011000000
32212210202002211110
41002202303323000
54241300444244
6302440443320
736444300060
oct10242637300
92783662743
101116421824
11523211271
12271a79540
1314a3b053b
14a83b53a0
156802b9b9
hex428b3ec0

1116421824 has 224 divisors, whose sum is σ = 3611367936. Its totient is φ = 297123840.

The previous prime is 1116421799. The next prime is 1116421837. The reversal of 1116421824 is 4281246111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1116421791 and 1116421800.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2992902 + ... + 2993274.

Almost surely, 21116421824 is an apocalyptic number.

1116421824 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 1116421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805683968).

1116421824 is an abundant number, since it is smaller than the sum of its proper divisors (2494946112).

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

1116421824 is a wasteful number, since it uses less digits than its factorization.

1116421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1116421824 is about 33412.8990660793. The cubic root of 1116421824 is about 1037.3917085211.

Adding to 1116421824 its reverse (4281246111), we get a palindrome (5397667935).

The spelling of 1116421824 in words is "one billion, one hundred sixteen million, four hundred twenty-one thousand, eight hundred twenty-four".