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1128064 = 2771259
BaseRepresentation
bin100010011011010000000
32010022102011
410103122000
5242044224
640102304
712405550
oct4233200
92108364
101128064
11700593
12464994
133065c2
14215160
15174394
hex113680

1128064 has 32 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 483072.

The previous prime is 1128037. The next prime is 1128089. The reversal of 1128064 is 4608211.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

21128064 is an apocalyptic number.

1128064 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 1128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

1128064 is an abundant number, since it is smaller than the sum of its proper divisors (1442336).

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

1128064 is an equidigital number, since it uses as much as digits as its factorization.

1128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1128064 is about 1062.1035731039. The cubic root of 1128064 is about 104.0985259599.

The spelling of 1128064 in words is "one million, one hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1259 2518 5036 8813 10072 17626 20144 35252 40288 70504 80576 141008 161152 282016 564032 1128064