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9130968 = 233571161
BaseRepresentation
bin100010110101…
…001111011000
3122011220100000
4202311033120
54314142333
6523413000
7140416620
oct42651730
918156300
109130968
115177260
123084160
131b79152
1412d9880
15c05713
hex8b53d8

9130968 has 192 divisors, whose sum is σ = 32497920. Its totient is φ = 2332800.

The previous prime is 9130967. The next prime is 9130991. The reversal of 9130968 is 8690319.

9130968 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

9130968 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130967) 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, 149658 + ... + 149718.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 29130968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9130968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

9130968 is an abundant number, since it is smaller than the sum of its proper divisors (23366952).

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

9130968 is a wasteful number, since it uses less digits than its factorization.

9130968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9130968 is about 3021.7491623230. The cubic root of 9130968 is about 209.0125065965.

The spelling of 9130968 in words is "nine million, one hundred thirty thousand, nine hundred sixty-eight".