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1068400242 = 2327133791721
BaseRepresentation
bin111111101011100…
…111111001110010
32202110101100121100
4333223213321302
54142002301432
6254003305230
735322152340
oct7753477162
92673340540
101068400242
114a90a1a08
1225997b216
131404687c0
14a1c74990
1563be307c
hex3fae7e72

1068400242 has 96 divisors (see below), whose sum is σ = 2858244480. Its totient is φ = 280869120.

The previous prime is 1068400189. The next prime is 1068400247. The reversal of 1068400242 is 2420048601.

1068400242 is a `hidden beast` number, since 10 + 6 + 8 + 400 + 242 = 666.

It is a super-2 number, since 2×10684002422 = 2282958154211317128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068400247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619942 + ... + 621662.

It is an arithmetic number, because the mean of its divisors is an integer number (29773380).

Almost surely, 21068400242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068400242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429122240).

1068400242 is an abundant number, since it is smaller than the sum of its proper divisors (1789844238).

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

1068400242 is a wasteful number, since it uses less digits than its factorization.

1068400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1068400242 is about 32686.3923062794. The cubic root of 1068400242 is about 1022.2991332324.

Adding to 1068400242 its reverse (2420048601), we get a palindrome (3488448843).

The spelling of 1068400242 in words is "one billion, sixty-eight million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 379 546 758 819 1137 1638 1721 2274 2653 3411 3442 4927 5163 5306 6822 7959 9854 10326 12047 14781 15489 15918 22373 23877 24094 29562 30978 34489 36141 44343 44746 47754 67119 68978 72282 88686 103467 108423 134238 156611 201357 206934 216846 310401 313222 402714 469833 620802 652259 939666 1304518 1409499 1956777 2818998 3913554 4565813 5870331 8479367 9131626 11740662 13697439 16958734 25438101 27394878 41092317 50876202 59355569 76314303 82184634 118711138 152628606 178066707 356133414 534200121 1068400242