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1068584985 = 3251319127757
BaseRepresentation
bin111111101100010…
…101000000011001
32202110201202000200
4333230111000121
54142024204420
6254011252413
735323552056
oct7754250031
92673652020
101068584985
114a9208796
12259a4a109
13140501910
14a1cc202d
1563c2cb90
hex3fb15019

1068584985 has 96 divisors (see below), whose sum is σ = 2119004160. Its totient is φ = 493807104.

The previous prime is 1068584983. The next prime is 1068584987. The reversal of 1068584985 is 5894858601.

It is a happy number.

1068584985 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 (1068584983) and next prime (1068584987).

It is not a de Polignac number, because 1068584985 - 21 = 1068584983 is a prime.

It is a super-2 number, since 2×10685849852 = 2283747740334900450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1068584981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1411227 + ... + 1411983.

It is an arithmetic number, because the mean of its divisors is an integer number (22072960).

Almost surely, 21068584985 is an apocalyptic number.

1068584985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1068584985 is a deficient number, since it is larger than the sum of its proper divisors (1050419175).

1068584985 is a wasteful number, since it uses less digits than its factorization.

1068584985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 1068584985 is about 32689.2181766404. The cubic root of 1068584985 is about 1022.3580536372.

The spelling of 1068584985 in words is "one billion, sixty-eight million, five hundred eighty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 127 171 195 247 285 381 585 635 741 757 855 1143 1235 1651 1905 2223 2271 2413 3705 3785 4953 5715 6813 7239 8255 9841 11115 11355 12065 14383 14859 21717 24765 29523 31369 34065 36195 43149 49205 71915 74295 88569 94107 96139 108585 129447 147615 156845 186979 215745 282321 288417 442845 470535 480695 560937 647235 865251 934895 1249807 1411605 1442085 1682811 1826641 2804685 3749421 4326255 5479923 6249035 8414055 9133205 11248263 16439769 18747105 23746333 27399615 56241315 71238999 82198845 118731665 213716997 356194995 1068584985