Search a number
-
+
68410386 = 2331141532
BaseRepresentation
bin1000001001111…
…01110000010010
311202201121102000
410010331300102
5120003113021
610442134430
71460323122
oct404756022
9152647360
1068410386
1135685810
121aab1416
1311233125
14912ac82
156014b26
hex413dc12

68410386 has 96 divisors (see below), whose sum is σ = 173154240. Its totient is φ = 19843200.

The previous prime is 68410369. The next prime is 68410403. The reversal of 68410386 is 68301486.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68410369) and next prime (68410403).

It is a self number, because there is not a number n which added to its sum of digits gives 68410386.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1290736 + ... + 1290788.

It is an arithmetic number, because the mean of its divisors is an integer number (1803690).

Almost surely, 268410386 is an apocalyptic number.

68410386 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68410386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86577120).

68410386 is an abundant number, since it is smaller than the sum of its proper divisors (104743854).

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

68410386 is a wasteful number, since it uses less digits than its factorization.

68410386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68410386 is about 8271.0571271150. The cubic root of 68410386 is about 408.9849688504.

Subtracting from 68410386 its reverse (68301486), we obtain a square (108900 = 3302).

The spelling of 68410386 in words is "sixty-eight million, four hundred ten thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 53 54 66 82 99 106 123 159 198 246 297 318 369 451 477 583 594 738 902 954 1107 1166 1353 1431 1749 2173 2214 2706 2809 2862 3498 4059 4346 5247 5618 6519 8118 8427 10494 12177 13038 15741 16854 19557 23903 24354 25281 30899 31482 39114 47806 50562 58671 61798 71709 75843 92697 115169 117342 143418 151686 185394 215127 230338 278091 345507 430254 556182 645381 691014 834273 1036521 1266859 1290762 1668546 2073042 2533718 3109563 3800577 6219126 7601154 11401731 22803462 34205193 68410386