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68250600 = 23345211383
BaseRepresentation
bin1000001000101…
…10101111101000
311202102111020000
410010112233220
5114433004400
610434503000
71456056225
oct404265750
9152374200
1068250600
1135586760
121aa34a60
13111a8492
1490c894c
155ed2600
hex4116be8

68250600 has 240 divisors, whose sum is σ = 259269120. Its totient is φ = 16502400.

The previous prime is 68250599. The next prime is 68250613. The reversal of 68250600 is 605286.

68250600 is a `hidden beast` number, since 6 + 8 + 2 + 50 + 600 = 666.

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

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178009 + ... + 178391.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 268250600 is an apocalyptic number.

68250600 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 68250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

68250600 is an abundant number, since it is smaller than the sum of its proper divisors (191018520).

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

68250600 is a wasteful number, since it uses less digits than its factorization.

68250600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68250600 is about 8261.3921345013. The cubic root of 68250600 is about 408.6662988281. Note that the first 3 decimals are identical.

Adding to 68250600 its reverse (605286), we get a palindrome (68855886).

The spelling of 68250600 in words is "sixty-eight million, two hundred fifty thousand, six hundred".