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68127150 = 235272132331
BaseRepresentation
bin1000000111110…
…00100110101110
311202012012212210
410003320212232
5114420032100
610432111250
71455033300
oct403704656
9152165783
1068127150
1135501a33
121a995526
1311164230
149095970
155eaac50
hex40f89ae

68127150 has 288 divisors, whose sum is σ = 227985408. Its totient is φ = 13305600.

The previous prime is 68127139. The next prime is 68127161. The reversal of 68127150 is 5172186.

It is an interprime number because it is at equal distance from previous prime (68127139) and next prime (68127161).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2197635 + ... + 2197665.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 268127150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68127150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704).

68127150 is an abundant number, since it is smaller than the sum of its proper divisors (159858258).

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

68127150 is a wasteful number, since it uses less digits than its factorization.

68127150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 68127150 is about 8253.9172518266. The cubic root of 68127150 is about 408.4197549507.

The spelling of 68127150 in words is "sixty-eight million, one hundred twenty-seven thousand, one hundred fifty".