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68368100 = 2252683681
BaseRepresentation
bin1000001001100…
…11011011100100
311202122110101212
410010303123210
5120000234400
610441210552
71460055623
oct404633344
9152573355
1068368100
1135656a69
121aa90a58
1311219ac8
1491196ba
156007335
hex41336e4

68368100 has 18 divisors (see below), whose sum is σ = 148358994. Its totient is φ = 27347200.

The previous prime is 68368093. The next prime is 68368103. The reversal of 68368100 is 186386.

It can be written as a sum of positive squares in 3 ways, for example, as 9784384 + 58583716 = 3128^2 + 7654^2 .

It is a super-2 number, since 2×683681002 = 9348394195220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68368103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 341741 + ... + 341940.

Almost surely, 268368100 is an apocalyptic number.

It is an amenable number.

68368100 is an abundant number, since it is smaller than the sum of its proper divisors (79990894).

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

68368100 is a wasteful number, since it uses less digits than its factorization.

68368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683695 (or 683688 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 68368100 is about 8268.5004686461. The cubic root of 68368100 is about 408.9006838757.

The spelling of 68368100 in words is "sixty-eight million, three hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 683681 1367362 2734724 3418405 6836810 13673620 17092025 34184050 68368100