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68062176 = 2532731353
BaseRepresentation
bin1000000111010…
…00101111100000
311202001220202100
410003220233200
5114410442201
610430450400
71454343000
oct403505740
9152056670
1068062176
1135468136
121a963a00
13111407a0
14907a000
155e96886
hex40e8be0

68062176 has 288 divisors, whose sum is σ = 247665600. Its totient is φ = 17611776.

The previous prime is 68062109. The next prime is 68062177. The reversal of 68062176 is 67126086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68062176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68062177) 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 47 ways as a sum of consecutive naturals, for example, 1284166 + ... + 1284218.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 268062176 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 68062176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

68062176 is an abundant number, since it is smaller than the sum of its proper divisors (179603424).

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

68062176 is a wasteful number, since it uses less digits than its factorization.

68062176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68062176 is about 8249.9803636130. The cubic root of 68062176 is about 408.2898747400.

The spelling of 68062176 in words is "sixty-eight million, sixty-two thousand, one hundred seventy-six".