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1068526728 = 23348319867
BaseRepresentation
bin111111101100000…
…110110010001000
32202110121210010000
4333230012302020
54142020323403
6254010123000
735323220163
oct7754066210
92673553100
101068526728
114a9178a45
12259a20460
131404b1249
14a1ca8ada
1563c1a7a3
hex3fb06c88

1068526728 has 80 divisors (see below), whose sum is σ = 3029075280. Its totient is φ = 351866592.

The previous prime is 1068526727. The next prime is 1068526729. The reversal of 1068526728 is 8276258601.

1068526728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1068526727) and next prime (1068526729).

It is a super-2 number, since 2×10685267282 = 2283498736900771968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068526727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43851 + ... + 63717.

It is an arithmetic number, because the mean of its divisors is an integer number (37863441).

Almost surely, 21068526728 is an apocalyptic number.

1068526728 is a gapful number since it is divisible by the number (18) 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 1068526728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514537640).

1068526728 is an abundant number, since it is smaller than the sum of its proper divisors (1960548552).

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

1068526728 is a wasteful number, since it uses less digits than its factorization.

1068526728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968 (or 19955 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1068526728 is about 32688.3270908745. The cubic root of 1068526728 is about 1022.3394743645.

The spelling of 1068526728 in words is "one billion, sixty-eight million, five hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2988 4482 5976 6723 8964 13446 17928 19867 26892 39734 53784 59601 79468 119202 158936 178803 238404 357606 476808 536409 715212 1072818 1430424 1609227 1648961 2145636 3218454 3297922 4291272 4946883 6436908 6595844 9893766 12873816 13191688 14840649 19787532 29681298 39575064 44521947 59362596 89043894 118725192 133565841 178087788 267131682 356175576 534263364 1068526728