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1110398016 = 26373131297
BaseRepresentation
bin100001000101111…
…0101010001000000
32212101102001201110
41002023311101000
54233230214031
6302103403320
736342141000
oct10213652100
92771361643
101110398016
1151a877512
1226ba53540
13149081760
14a7688000
156773bc46
hex422f5440

1110398016 has 224 divisors, whose sum is σ = 3692550400. Its totient is φ = 292626432.

The previous prime is 1110398011. The next prime is 1110398017. The reversal of 1110398016 is 6108930111.

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

It is not an unprimeable number, because it can be changed into a prime (1110398011) 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 31 ways as a sum of consecutive naturals, for example, 855480 + ... + 856776.

It is an arithmetic number, because the mean of its divisors is an integer number (16484600).

Almost surely, 21110398016 is an apocalyptic number.

1110398016 is a gapful number since it is divisible by the number (16) 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 1110398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846275200).

1110398016 is an abundant number, since it is smaller than the sum of its proper divisors (2582152384).

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

1110398016 is a wasteful number, since it uses less digits than its factorization.

1110398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 1110398016 is about 33322.6351899126. The cubic root of 1110398016 is about 1035.5225460022.

The spelling of 1110398016 in words is "one billion, one hundred ten million, three hundred ninety-eight thousand, sixteen".