Search a number
-
+
10218096 = 2433731109
BaseRepresentation
bin100110111110…
…101001110000
3201020010121000
4212332221300
510103434341
61003002000
7152565240
oct46765160
921203530
1010218096
11584a009
123509300
132169c15
1414ddb20
15d6c8b6
hex9bea70

10218096 has 160 divisors (see below), whose sum is σ = 34918400. Its totient is φ = 2799360.

The previous prime is 10218079. The next prime is 10218101. The reversal of 10218096 is 69081201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93690 + ... + 93798.

It is an arithmetic number, because the mean of its divisors is an integer number (218240).

Almost surely, 210218096 is an apocalyptic number.

10218096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459200).

10218096 is an abundant number, since it is smaller than the sum of its proper divisors (24700304).

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

10218096 is a wasteful number, since it uses less digits than its factorization.

10218096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10218096 is about 3196.5756678045. The cubic root of 10218096 is about 216.9984638908.

Adding to 10218096 its reverse (69081201), we get a palindrome (79299297).

The spelling of 10218096 in words is "ten million, two hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 109 112 124 126 144 168 186 189 216 217 218 248 252 279 327 336 372 378 432 434 436 496 504 558 651 654 744 756 763 837 868 872 981 1008 1116 1302 1308 1488 1512 1526 1674 1736 1744 1953 1962 2232 2289 2604 2616 2943 3024 3052 3348 3379 3472 3906 3924 4464 4578 5208 5232 5859 5886 6104 6696 6758 6867 7812 7848 9156 10137 10416 11718 11772 12208 13392 13516 13734 15624 15696 18312 20274 20601 23436 23544 23653 27032 27468 30411 31248 36624 40548 41202 46872 47088 47306 54064 54936 60822 70959 81096 82404 91233 93744 94612 109872 121644 141918 162192 164808 182466 189224 212877 243288 283836 329616 364932 378448 425754 486576 567672 638631 729864 851508 1135344 1277262 1459728 1703016 2554524 3406032 5109048 10218096