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68116824 = 2332171929101
BaseRepresentation
bin1000000111101…
…10000101011000
311202011200201100
410003312011120
5114414214244
610431551400
71454661216
oct403660530
9152150640
1068116824
11354a51a6
121a98b560
131115c619
149091cb6
155ea7b69
hex40f6158

68116824 has 192 divisors, whose sum is σ = 214812000. Its totient is φ = 19353600.

The previous prime is 68116817. The next prime is 68116837. The reversal of 68116824 is 42861186.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 674374 + ... + 674474.

Almost surely, 268116824 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 68116824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107406000).

68116824 is an abundant number, since it is smaller than the sum of its proper divisors (146695176).

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

68116824 is a wasteful number, since it uses less digits than its factorization.

68116824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 68116824 is about 8253.2917069494. The cubic root of 68116824 is about 408.3991192448.

The spelling of 68116824 in words is "sixty-eight million, one hundred sixteen thousand, eight hundred twenty-four".