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1066728 = 233132263
BaseRepresentation
bin100000100011011101000
32000012021110
410010123220
5233113403
634510320
712031665
oct4043350
92005243
101066728
116694a3
124353a0
132b4700
141daa6c
15161103
hex1046e8

1066728 has 48 divisors (see below), whose sum is σ = 2898720. Its totient is φ = 326976.

The previous prime is 1066721. The next prime is 1066729. The reversal of 1066728 is 8276601.

It is a happy number.

It is a super-2 number, since 2×10667282 = 2275817251968, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1066695 and 1066704.

It is not an unprimeable number, because it can be changed into a prime (1066721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3925 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (60390).

21066728 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 1066728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449360).

1066728 is an abundant number, since it is smaller than the sum of its proper divisors (1831992).

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

1066728 is a wasteful number, since it uses less digits than its factorization.

1066728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1066728 is about 1032.8252514341. The cubic root of 1066728 is about 102.1765492946.

The spelling of 1066728 in words is "one million, sixty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 263 312 338 507 526 676 789 1014 1052 1352 1578 2028 2104 3156 3419 4056 6312 6838 10257 13676 20514 27352 41028 44447 82056 88894 133341 177788 266682 355576 533364 1066728