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68005756 = 22713238123
BaseRepresentation
bin1000000110110…
…10111101111100
311201222001100201
410003122331330
5114402141011
610425333244
71454016340
oct403327574
9151861321
1068005756
1135429805
121a937224
1311120bc0
149063620
155e84cc1
hex40daf7c

68005756 has 48 divisors (see below), whose sum is σ = 152861184. Its totient is φ = 25730496.

The previous prime is 68005753. The next prime is 68005771. The reversal of 68005756 is 65750086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68005753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4311 + ... + 12433.

It is an arithmetic number, because the mean of its divisors is an integer number (3184608).

Almost surely, 268005756 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 68005756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76430592).

68005756 is an abundant number, since it is smaller than the sum of its proper divisors (84855428).

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

68005756 is a wasteful number, since it uses less digits than its factorization.

68005756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 68005756 is about 8246.5602526144. The cubic root of 68005756 is about 408.1770265368.

The spelling of 68005756 in words is "sixty-eight million, five thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8123 8372 16246 32492 56861 105599 113722 186829 211198 227444 373658 422396 739193 747316 1307803 1478386 2428777 2615606 2956772 4857554 5231212 9715108 17001439 34002878 68005756