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1075328 = 2731271
BaseRepresentation
bin100000110100010000000
32000122001222
410012202000
5233402303
635014212
712066032
oct4064200
92018058
101075328
11674a01
1243a368
132b85b7
141ddc52
15163938
hex106880

1075328 has 32 divisors (see below), whose sum is σ = 2219520. Its totient is φ = 518400.

The previous prime is 1075303. The next prime is 1075337. The reversal of 1075328 is 8235701.

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

It is a junction number, because it is equal to n+sod(n) for n = 1075297 and 1075306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3833 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (69360).

21075328 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 1075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109760).

1075328 is an abundant number, since it is smaller than the sum of its proper divisors (1144192).

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

1075328 is an equidigital number, since it uses as much as digits as its factorization.

1075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1075328 is about 1036.9802312484. The cubic root of 1075328 is about 102.4503983684.

The spelling of 1075328 in words is "one million, seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 271 496 542 992 1084 1984 2168 3968 4336 8401 8672 16802 17344 33604 34688 67208 134416 268832 537664 1075328