Search a number
-
+
68206944 = 25313314143
BaseRepresentation
bin1000001000011…
…00000101100000
311202100021100010
410010030011200
5114430110234
610433524520
71455515031
oct404140540
9152307303
1068206944
1135556983
121aa13740
1311191650
1490b6a88
155ec46e9
hex410c160

68206944 has 192 divisors, whose sum is σ = 208631808. Its totient is φ = 19353600.

The previous prime is 68206939. The next prime is 68206949. The reversal of 68206944 is 44960286.

It is an interprime number because it is at equal distance from previous prime (68206939) and next prime (68206949).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68206949) 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 31 ways as a sum of consecutive naturals, for example, 1586187 + ... + 1586229.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624).

Almost surely, 268206944 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 68206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315904).

68206944 is an abundant number, since it is smaller than the sum of its proper divisors (140424864).

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

68206944 is a wasteful number, since it uses less digits than its factorization.

68206944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 68206944 is about 8258.7495421523. The cubic root of 68206944 is about 408.5791467679.

The spelling of 68206944 in words is "sixty-eight million, two hundred six thousand, nine hundred forty-four".