Search a number
-
+
68716584 = 233217311811
BaseRepresentation
bin1000001100010…
…00100000101000
311210022011102200
410012020200220
5120042412314
610452500200
71463036616
oct406104050
9153264380
1068716584
1135874872
121b01a660
131130c601
1491aa6b6
156075709
hex4188828

68716584 has 96 divisors (see below), whose sum is σ = 203523840. Its totient is φ = 20851200.

The previous prime is 68716547. The next prime is 68716589. The reversal of 68716584 is 48561786.

It is a happy number.

68716584 is a `hidden beast` number, since 68 + 7 + 1 + 6 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (68716589) 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 23 ways as a sum of consecutive naturals, for example, 37039 + ... + 38849.

It is an arithmetic number, because the mean of its divisors is an integer number (2120040).

Almost surely, 268716584 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 68716584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101761920).

68716584 is an abundant number, since it is smaller than the sum of its proper divisors (134807256).

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

68716584 is a wasteful number, since it uses less digits than its factorization.

68716584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1864 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 68716584 is about 8289.5466703554. The cubic root of 68716584 is about 409.5942525693.

It can be divided in two parts, 687 and 16584, that added together give a palindrome (17271).

The spelling of 68716584 in words is "sixty-eight million, seven hundred sixteen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 1811 2108 2232 3162 3622 4216 4743 5433 6324 7244 9486 10866 12648 14488 16299 18972 21732 30787 32598 37944 43464 56141 61574 65196 92361 112282 123148 130392 168423 184722 224564 246296 277083 336846 369444 449128 505269 554166 673692 738888 954397 1010538 1108332 1347384 1908794 2021076 2216664 2863191 3817588 4042152 5726382 7635176 8589573 11452764 17179146 22905528 34358292 68716584