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1146428160 = 28354353131
BaseRepresentation
bin100010001010101…
…0001101100000000
32221220012120210020
41010111101230000
54321441200120
6305431533440
740260323103
oct10425215400
92856176706
101146428160
11539146499
1227bb2a280
13153688377
14ac38673a
156a9a7640
hex44551b00

1146428160 has 288 divisors, whose sum is σ = 3846382848. Its totient is φ = 290734080.

The previous prime is 1146428147. The next prime is 1146428161. The reversal of 1146428160 is 618246411.

It is not an unprimeable number, because it can be changed into a prime (1146428161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8751295 + ... + 8751425.

It is an arithmetic number, because the mean of its divisors is an integer number (13355496).

Almost surely, 21146428160 is an apocalyptic number.

1146428160 is a gapful number since it is divisible by the number (10) 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 1146428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923191424).

1146428160 is an abundant number, since it is smaller than the sum of its proper divisors (2699954688).

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

1146428160 is a wasteful number, since it uses less digits than its factorization.

1146428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1146428160 is about 33858.9450514927. The cubic root of 1146428160 is about 1046.6037385366.

The spelling of 1146428160 in words is "one billion, one hundred forty-six million, four hundred twenty-eight thousand, one hundred sixty".