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1028016 = 243211259
BaseRepresentation
bin11111010111110110000
31221020011200
43322332300
5230344031
634011200
711511063
oct3727660
91836150
101028016
11642400
12416b00
1329cbc2
141ca8da
151548e6
hexfafb0

1028016 has 90 divisors (see below), whose sum is σ = 3215940. Its totient is φ = 306240.

The previous prime is 1028011. The next prime is 1028017. The reversal of 1028016 is 6108201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1028016.

It is not an unprimeable number, because it can be changed into a prime (1028011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17395 + ... + 17453.

21028016 is an apocalyptic number.

1028016 is a gapful number since it is divisible by the number (16) 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 1028016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607970).

1028016 is an abundant number, since it is smaller than the sum of its proper divisors (2187924).

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

1028016 is a wasteful number, since it uses less digits than its factorization.

1028016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1028016 is about 1013.9112387187. The cubic root of 1028016 is about 100.9252788515.

It can be divided in two parts, 10280 and 16, that added together give a triangular number (10296 = T143).

The spelling of 1028016 in words is "one million, twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 121 132 144 176 177 198 236 242 264 354 363 396 472 484 528 531 649 708 726 792 944 968 1062 1089 1298 1416 1452 1584 1936 1947 2124 2178 2596 2832 2904 3894 4248 4356 5192 5808 5841 7139 7788 8496 8712 10384 11682 14278 15576 17424 21417 23364 28556 31152 42834 46728 57112 64251 85668 93456 114224 128502 171336 257004 342672 514008 1028016