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68378112 = 2932111971
BaseRepresentation
bin1000001001101…
…01111000000000
311202122222010200
410010311320000
5120001044422
610441325200
71460130045
oct404657000
9152588120
1068378112
1135663540
121aa96800
131122152a
14911d1cc
15600a2ac
hex4135e00

68378112 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 19353600.

The previous prime is 68378083. The next prime is 68378117. The reversal of 68378112 is 21187386.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68378117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963037 + ... + 963107.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 268378112 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 68378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

68378112 is an abundant number, since it is smaller than the sum of its proper divisors (161428608).

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

68378112 is a wasteful number, since it uses less digits than its factorization.

68378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

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

The square root of 68378112 is about 8269.1058766955. The cubic root of 68378112 is about 408.9206430566.

The spelling of 68378112 in words is "sixty-eight million, three hundred seventy-eight thousand, one hundred twelve".