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1068288 = 28313107
BaseRepresentation
bin100000100110100000000
32000021102020
410010310000
5233141123
634521440
712036354
oct4046400
92007366
101068288
1166a691
12436280
132b5330
141db464
151617e3
hex104d00

1068288 has 72 divisors (see below), whose sum is σ = 3090528. Its totient is φ = 325632.

The previous prime is 1068271. The next prime is 1068307. The reversal of 1068288 is 8828601.

It is a super-2 number, since 2×10682882 = 2282478501888, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9931 + ... + 10037.

It is an arithmetic number, because the mean of its divisors is an integer number (42924).

21068288 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 1068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264).

1068288 is an abundant number, since it is smaller than the sum of its proper divisors (2022240).

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

1068288 is a wasteful number, since it uses less digits than its factorization.

1068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1068288 is about 1033.5801855686. The cubic root of 1068288 is about 102.2263332380.

The spelling of 1068288 in words is "one million, sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 128 156 192 208 214 256 312 321 384 416 428 624 642 768 832 856 1248 1284 1391 1664 1712 2496 2568 2782 3328 3424 4173 4992 5136 5564 6848 8346 9984 10272 11128 13696 16692 20544 22256 27392 33384 41088 44512 66768 82176 89024 133536 178048 267072 356096 534144 1068288