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68832192 = 263111323109
BaseRepresentation
bin1000001101001…
…00101111000000
311210112001000110
410012210233000
5120110112232
610455151320
71464030642
oct406445700
9153461013
1068832192
1135943710
121b075540
1311350110
1491da892
156099acc
hex41a4bc0

68832192 has 224 divisors, whose sum is σ = 225308160. Its totient is φ = 18247680.

The previous prime is 68832191. The next prime is 68832221. The reversal of 68832192 is 29123886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 68832192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68832191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631434 + ... + 631542.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 268832192 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 68832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

68832192 is an abundant number, since it is smaller than the sum of its proper divisors (156475968).

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

68832192 is a wasteful number, since it uses less digits than its factorization.

68832192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 68832192 is about 8296.5168595019. The cubic root of 68832192 is about 409.8238227805.

The spelling of 68832192 in words is "sixty-eight million, eight hundred thirty-two thousand, one hundred ninety-two".