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68125680 = 24325721931
BaseRepresentation
bin1000000111110…
…00001111110000
311202012010212100
410003320033300
5114420010210
610432100400
71455026100
oct403701760
9152163770
1068125680
1135500917
121a994700
131116366c
149095200
155eaa5c0
hex40f83f0

68125680 has 180 divisors, whose sum is σ = 266279832. Its totient is φ = 15563520.

The previous prime is 68125661. The next prime is 68125691. The reversal of 68125680 is 8652186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×681256802 = 9282216550924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34315 + ... + 36245.

Almost surely, 268125680 is an apocalyptic number.

68125680 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 68125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133139916).

68125680 is an abundant number, since it is smaller than the sum of its proper divisors (198154152).

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

68125680 is a wasteful number, since it uses less digits than its factorization.

68125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68125680 is about 8253.8282027190. The cubic root of 68125680 is about 408.4168173976.

The spelling of 68125680 in words is "sixty-eight million, one hundred twenty-five thousand, six hundred eighty".