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68623200 = 253552353
BaseRepresentation
bin1000001011100…
…01101101100000
311210010102100000
410011301231200
5120031420300
610450500000
71462200432
oct405615540
9153112300
1068623200
1135810698
121ab94600
13112a8c59
149184652
156057c00
hex4171b60

68623200 has 216 divisors, whose sum is σ = 251655768. Its totient is φ = 18247680.

The previous prime is 68623199. The next prime is 68623201. The reversal of 68623200 is 232686.

It is an interprime number because it is at equal distance from previous prime (68623199) and next prime (68623201).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68623201) 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 35 ways as a sum of consecutive naturals, for example, 194224 + ... + 194576.

It is an arithmetic number, because the mean of its divisors is an integer number (1165073).

Almost surely, 268623200 is an apocalyptic number.

68623200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125827884).

68623200 is an abundant number, since it is smaller than the sum of its proper divisors (183032568).

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

68623200 is a wasteful number, since it uses less digits than its factorization.

68623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 68623200 is about 8283.9121192828. The cubic root of 68623200 is about 409.4086259114.

Adding to 68623200 its reverse (232686), we get a palindrome (68855886).

The spelling of 68623200 in words is "sixty-eight million, six hundred twenty-three thousand, two hundred".