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1068272946 = 23213103127349
BaseRepresentation
bin111111101011001…
…000110100110010
32202110010212222200
4333223020310302
54141434213241
6254000444030
735321112246
oct7753106462
92673125880
101068272946
114a9015304
12259919616
13140422890
14a1c40426
1563bba4b6
hex3fac8d32

1068272946 has 96 divisors (see below), whose sum is σ = 2543923200. Its totient is φ = 322019712.

The previous prime is 1068272899. The next prime is 1068272969. The reversal of 1068272946 is 6492728601.

It is a happy number.

It is a super-2 number, since 2×10682729462 = 2282414174311037832, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 3060780 + ... + 3061128.

It is an arithmetic number, because the mean of its divisors is an integer number (26499200).

Almost surely, 21068272946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068272946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271961600).

1068272946 is an abundant number, since it is smaller than the sum of its proper divisors (1475650254).

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

1068272946 is a wasteful number, since it uses less digits than its factorization.

1068272946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1068272946 is about 32684.4450159399. The cubic root of 1068272946 is about 1022.2585305463.

The spelling of 1068272946 in words is "one billion, sixty-eight million, two hundred seventy-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 127 206 234 254 309 349 381 618 698 762 927 1047 1143 1339 1651 1854 2094 2286 2678 3141 3302 4017 4537 4953 6282 8034 9074 9906 12051 13081 13611 14859 24102 26162 27222 29718 35947 39243 40833 44323 71894 78486 81666 88646 107841 117729 132969 170053 215682 235458 265938 323523 340106 398907 467311 510159 576199 647046 797814 934622 1020318 1152398 1401933 1530477 1728597 2803866 3060954 3457194 4205799 4565269 5185791 8411598 9130538 10371582 13695807 27391614 41087421 59348497 82174842 118696994 178045491 356090982 534136473 1068272946