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1068278900 = 225213821753
BaseRepresentation
bin111111101011001…
…010010001110100
32202110011012011012
4333223022101310
54141434411100
6254000531352
735321135513
oct7753122164
92673135135
101068278900
114a9019827
12259920b58
131404254c0
14a1c4267a
1563bbc135
hex3faca474

1068278900 has 36 divisors (see below), whose sum is σ = 2496488652. Its totient is φ = 394440960.

The previous prime is 1068278867. The next prime is 1068278917. The reversal of 1068278900 is 98728601.

It can be written as a sum of positive squares in 6 ways, for example, as 165997456 + 902281444 = 12884^2 + 30038^2 .

It is a super-2 number, since 2×10682789002 = 2282439616370420000, which contains 22 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 409577 + ... + 412176.

It is an arithmetic number, because the mean of its divisors is an integer number (69346907).

Almost surely, 21068278900 is an apocalyptic number.

1068278900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068278900 is an abundant number, since it is smaller than the sum of its proper divisors (1428209752).

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

1068278900 is a wasteful number, since it uses less digits than its factorization.

1068278900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821780 (or 821773 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 1068278900 is about 32684.5360988955. The cubic root of 1068278900 is about 1022.2604297226.

The spelling of 1068278900 in words is "one billion, sixty-eight million, two hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 821753 1643506 3287012 4108765 8217530 10682789 16435060 20543825 21365578 41087650 42731156 53413945 82175300 106827890 213655780 267069725 534139450 1068278900