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68785368 = 23337711091
BaseRepresentation
bin1000001100110…
…01010011011000
311210102122210020
410012121103120
5120102112433
610454150440
71463444301
oct406312330
9153378706
1068785368
1135911513
121b052420
1311334a02
1491c77a8
15608acb3
hex41994d8

68785368 has 64 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 21974400.

The previous prime is 68785363. The next prime is 68785399. The reversal of 68785368 is 86358786.

It is a self number, because there is not a number n which added to its sum of digits gives 68785368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68785363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62503 + ... + 63593.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 268785368 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 68785368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

68785368 is an abundant number, since it is smaller than the sum of its proper divisors (110477352).

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

68785368 is a wasteful number, since it uses less digits than its factorization.

68785368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1204 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 68785368 is about 8293.6944723085. The cubic root of 68785368 is about 409.7308723597.

It can be divided in two parts, 6878 and 5368, that added together give a triangular number (12246 = T156).

The spelling of 68785368 in words is "sixty-eight million, seven hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1091 1704 2182 2627 3273 4364 5254 6546 7881 8728 10508 13092 15762 21016 26184 31524 40367 63048 77461 80734 121101 154922 161468 232383 242202 309844 322936 464766 484404 619688 929532 968808 1859064 2866057 5732114 8598171 11464228 17196342 22928456 34392684 68785368