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1068074826 = 2371373127211
BaseRepresentation
bin111111101010011…
…000011101001010
32202102202211012220
4333222120131022
54141411343301
6253552314510
735316325530
oct7752303512
92672684186
101068074826
114a899a475
12259842a36
13140383650
14a1bcc150
1563b7b936
hex3fa9874a

1068074826 has 128 divisors (see below), whose sum is σ = 2698838016. Its totient is φ = 274337280.

The previous prime is 1068074801. The next prime is 1068074831. The reversal of 1068074826 is 6284708601.

It is a super-2 number, since 2×10680748262 = 2281567667869860552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5061861 + ... + 5062071.

It is an arithmetic number, because the mean of its divisors is an integer number (21084672).

Almost surely, 21068074826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068074826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349419008).

1068074826 is an abundant number, since it is smaller than the sum of its proper divisors (1630763190).

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

1068074826 is a wasteful number, since it uses less digits than its factorization.

1068074826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1068074826 is about 32681.4140758934. The cubic root of 1068074826 is about 1022.1953312230.

The spelling of 1068074826 in words is "one billion, sixty-eight million, seventy-four thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 73 78 91 127 146 182 211 219 254 273 381 422 438 511 546 633 762 889 949 1022 1266 1477 1533 1651 1778 1898 2667 2743 2847 2954 3066 3302 4431 4953 5334 5486 5694 6643 8229 8862 9271 9906 11557 13286 15403 16458 18542 19201 19929 23114 26797 27813 30806 34671 38402 39858 46209 53594 55626 57603 64897 69342 80391 92418 107821 115206 120523 129794 160782 187579 194691 200239 215642 241046 323463 348361 361569 375158 389382 400478 562737 600717 646926 696722 723138 843661 1045083 1125474 1201434 1401673 1687322 1956181 2090166 2438527 2530983 2803346 3912362 4205019 4877054 5061966 5868543 7315581 8410038 11737086 13693267 14631162 25430353 27386534 41079801 50860706 76291059 82159602 152582118 178012471 356024942 534037413 1068074826