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68289700 = 2252897673
BaseRepresentation
bin1000001001000…
…00010010100100
311202111110212011
410010200102210
5114440232300
610435404004
71456311223
oct404402244
9152443764
1068289700
1135603076
121aa53604
13111c020b
1490d8cba
155eddeba
hex41204a4

68289700 has 36 divisors (see below), whose sum is σ = 149873220. Its totient is φ = 27005440.

The previous prime is 68289677. The next prime is 68289703. The reversal of 68289700 is 798286.

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 64416676 = 1968^2 + 8026^2 .

It is not an unprimeable number, because it can be changed into a prime (68289703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5064 + ... + 12736.

It is an arithmetic number, because the mean of its divisors is an integer number (4163145).

Almost surely, 268289700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68289700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74936610).

68289700 is an abundant number, since it is smaller than the sum of its proper divisors (81583520).

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

68289700 is a wasteful number, since it uses less digits than its factorization.

68289700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 68289700 is about 8263.7582249241. The cubic root of 68289700 is about 408.7443240366.

The spelling of 68289700 in words is "sixty-eight million, two hundred eighty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 7673 8900 15346 30692 38365 76730 153460 191825 383650 682897 767300 1365794 2731588 3414485 6828970 13657940 17072425 34144850 68289700