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1116132048 = 24351929521
BaseRepresentation
bin100001010000110…
…1101001011010000
32212210012101100000
41002201231023100
54241212211143
6302430330000
736441652203
oct10241551320
92783171300
101116132048
11523033589
12271959900
1314a30b685
14a833b93a
1567ec0bd3
hex4286d2d0

1116132048 has 240 divisors, whose sum is σ = 3534148800. Its totient is φ = 339655680.

The previous prime is 1116132023. The next prime is 1116132049. The reversal of 1116132048 is 8402316111.

It is a happy number.

1116132048 is a `hidden beast` number, since 1 + 1 + 1 + 613 + 2 + 0 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116132049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2142028 + ... + 2142548.

It is an arithmetic number, because the mean of its divisors is an integer number (14725620).

Almost surely, 21116132048 is an apocalyptic number.

1116132048 is a gapful number since it is divisible by the number (18) 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 1116132048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767074400).

1116132048 is an abundant number, since it is smaller than the sum of its proper divisors (2418016752).

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

1116132048 is a wasteful number, since it uses less digits than its factorization.

1116132048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1116132048 is about 33408.5624952646. The cubic root of 1116132048 is about 1037.3019463823.

Adding to 1116132048 its reverse (8402316111), we get a palindrome (9518448159).

The spelling of 1116132048 in words is "one billion, one hundred sixteen million, one hundred thirty-two thousand, forty-eight".