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68178312 = 23321516271
BaseRepresentation
bin1000001000001…
…01000110001000
311202021211001200
410010011012020
5114423201222
610433144200
71455335406
oct404050610
9152254050
1068178312
1135537414
121a9bb060
13111815c7
1490aa476
155ebaeac
hex4105188

68178312 has 48 divisors (see below), whose sum is σ = 185902080. Its totient is φ = 22572000.

The previous prime is 68178307. The next prime is 68178317. The reversal of 68178312 is 21387186.

It is an interprime number because it is at equal distance from previous prime (68178307) and next prime (68178317).

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

It is not an unprimeable number, because it can be changed into a prime (68178317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7737 + ... + 14007.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 268178312 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 68178312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92951040).

68178312 is an abundant number, since it is smaller than the sum of its proper divisors (117723768).

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

68178312 is a wasteful number, since it uses less digits than its factorization.

68178312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6427 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 68178312 is about 8257.0159258657. The cubic root of 68178312 is about 408.5219674703.

It can be divided in two parts, 6817 and 8312, that added together give a square (15129 = 1232).

The spelling of 68178312 in words is "sixty-eight million, one hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 6271 10872 12542 18813 25084 37626 50168 56439 75252 112878 150504 225756 451512 946921 1893842 2840763 3787684 5681526 7575368 8522289 11363052 17044578 22726104 34089156 68178312