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1146011328 = 2636711229
BaseRepresentation
bin100010001001110…
…1011111011000000
32221212102102000000
41010103223323000
54321334330303
6305415000000
740253635620
oct10423537300
92855372000
101146011328
11538991300
1227b969000
13153570717
14ac2b8880
156a923da3
hex444ebec0

1146011328 has 588 divisors, whose sum is σ = 4430847120. Its totient is φ = 287400960.

The previous prime is 1146011303. The next prime is 1146011333. The reversal of 1146011328 is 8231106411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39517618 + ... + 39517646.

Almost surely, 21146011328 is an apocalyptic number.

1146011328 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 1146011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215423560).

1146011328 is an abundant number, since it is smaller than the sum of its proper divisors (3284835792).

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

1146011328 is an equidigital number, since it uses as much as digits as its factorization.

1146011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

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

The square root of 1146011328 is about 33852.7890726894. The cubic root of 1146011328 is about 1046.4768776108.

Adding to 1146011328 its reverse (8231106411), we get a palindrome (9377117739).

The spelling of 1146011328 in words is "one billion, one hundred forty-six million, eleven thousand, three hundred twenty-eight".