Search a number
-
+
10218336 = 253106441
BaseRepresentation
bin100110111110…
…101101100000
3201020010220220
4212332231200
510103441321
61003003040
7152566032
oct46765540
921203826
1010218336
11584a207
123509480
13216a06b
1414ddc52
15d6c9c6
hex9beb60

10218336 has 24 divisors (see below), whose sum is σ = 26823384. Its totient is φ = 3406080.

The previous prime is 10218331. The next prime is 10218349. The reversal of 10218336 is 63381201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218331) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 53125 + ... + 53316.

It is an arithmetic number, because the mean of its divisors is an integer number (1117641).

Almost surely, 210218336 is an apocalyptic number.

10218336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10218336 is an abundant number, since it is smaller than the sum of its proper divisors (16605048).

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

10218336 is a wasteful number, since it uses less digits than its factorization.

10218336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106454 (or 106446 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10218336 is about 3196.6132077560. The cubic root of 10218336 is about 217.0001628121. Note that the first 3 decimals are identical.

Adding to 10218336 its reverse (63381201), we get a palindrome (73599537).

The spelling of 10218336 in words is "ten million, two hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106441 212882 319323 425764 638646 851528 1277292 1703056 2554584 3406112 5109168 10218336