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68458100 = 2252684581
BaseRepresentation
bin1000001010010…
…01011001110100
311202211000212012
410011021121310
5120011124400
610443143352
71460612204
oct405113164
9152730765
1068458100
1135708647
121ab14b58
131124ba69
149140404
156023d35
hex4149674

68458100 has 18 divisors (see below), whose sum is σ = 148554294. Its totient is φ = 27383200.

The previous prime is 68458073. The next prime is 68458109. The reversal of 68458100 is 185486.

It can be written as a sum of positive squares in 3 ways, for example, as 659344 + 67798756 = 812^2 + 8234^2 .

It is a super-2 number, since 2×684581002 = 9373022911220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68458109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342191 + ... + 342390.

Almost surely, 268458100 is an apocalyptic number.

It is an amenable number.

68458100 is an abundant number, since it is smaller than the sum of its proper divisors (80096194).

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

68458100 is a wasteful number, since it uses less digits than its factorization.

68458100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684595 (or 684588 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 68458100 is about 8273.9410198526. The cubic root of 68458100 is about 409.0800312858.

The spelling of 68458100 in words is "sixty-eight million, four hundred fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 684581 1369162 2738324 3422905 6845810 13691620 17114525 34229050 68458100