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1116730944 = 263271032689
BaseRepresentation
bin100001010001111…
…1111011001000000
32212211022210212100
41002203333121000
54241340342234
6302451230400
736450025230
oct10243773100
92784283770
101116730944
1152340253a
12271ba8400
1314a48b154
14a8455cc0
156808d399
hex428ff640

1116730944 has 168 divisors, whose sum is σ = 3695070080. Its totient is φ = 315850752.

The previous prime is 1116730943. The next prime is 1116730957. The reversal of 1116730944 is 4490376111.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×11167309442 = 2494176002574262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1116730899 and 1116730908.

It is not an unprimeable number, because it can be changed into a prime (1116730943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413952 + ... + 416640.

Almost surely, 21116730944 is an apocalyptic number.

1116730944 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 1116730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847535040).

1116730944 is an abundant number, since it is smaller than the sum of its proper divisors (2578339136).

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

1116730944 is a wasteful number, since it uses less digits than its factorization.

1116730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1116730944 is about 33417.5245043675. The cubic root of 1116730944 is about 1037.4874456119.

The spelling of 1116730944 in words is "one billion, one hundred sixteen million, seven hundred thirty thousand, nine hundred forty-four".