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1075728 = 24373307
BaseRepresentation
bin100000110101000010000
32000122121210
410012220100
5233410403
635020120
712100143
oct4065020
92018553
101075728
11675235
1243a640
132b8834
1420005a
15163b03
hex106a10

1075728 has 40 divisors (see below), whose sum is σ = 2826208. Its totient is φ = 352512.

The previous prime is 1075727. The next prime is 1075729. The reversal of 1075728 is 8275701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1075727) and next prime (1075729).

It is a junction number, because it is equal to n+sod(n) for n = 1075695 and 1075704.

It is not an unprimeable number, because it can be changed into a prime (1075727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3351 + ... + 3657.

21075728 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 1075728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413104).

1075728 is an abundant number, since it is smaller than the sum of its proper divisors (1750480).

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

1075728 is a wasteful number, since it uses less digits than its factorization.

1075728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 1075728 is about 1037.1730810236. The cubic root of 1075728 is about 102.4630999438.

The spelling of 1075728 in words is "one million, seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 307 438 584 614 876 921 1168 1228 1752 1842 2456 3504 3684 4912 7368 14736 22411 44822 67233 89644 134466 179288 268932 358576 537864 1075728