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68365728 = 2533671181
BaseRepresentation
bin1000001001100…
…10110110100000
311202122100011000
410010302312200
5120000200403
610441152000
71460045664
oct404626640
9152570130
1068365728
1135655202
121aa8b600
13112189c2
1491188a4
1560067a3
hex4132da0

68365728 has 96 divisors (see below), whose sum is σ = 202547520. Its totient is φ = 22429440.

The previous prime is 68365723. The next prime is 68365747. The reversal of 68365728 is 82756386.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (68365723) 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, 57298 + ... + 58478.

It is an arithmetic number, because the mean of its divisors is an integer number (2109870).

Almost surely, 268365728 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 68365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101273760).

68365728 is an abundant number, since it is smaller than the sum of its proper divisors (134181792).

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

68365728 is a wasteful number, since it uses less digits than its factorization.

68365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1253 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 68365728 is about 8268.3570314785. The cubic root of 68365728 is about 408.8959549469.

The spelling of 68365728 in words is "sixty-eight million, three hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1181 1206 1608 1809 2144 2362 2412 3216 3543 3618 4724 4824 6432 7086 7236 9448 9648 10629 14172 14472 18896 19296 21258 28344 28944 31887 37792 42516 56688 57888 63774 79127 85032 113376 127548 158254 170064 237381 255096 316508 340128 474762 510192 633016 712143 949524 1020384 1266032 1424286 1899048 2136429 2532064 2848572 3798096 4272858 5697144 7596192 8545716 11394288 17091432 22788576 34182864 68365728