Search a number
-
+
16636064 = 251753577
BaseRepresentation
bin111111011101…
…100010100000
31011022012101112
4333131202200
513224323224
61352322452
7261255434
oct77354240
934265345
1016636064
119432a15
1256a3428
1335a6233
1422d09c4
1516d930e
hexfdd8a0

16636064 has 48 divisors (see below), whose sum is σ = 35394408. Its totient is φ = 7667712.

The previous prime is 16636031. The next prime is 16636069. The reversal of 16636064 is 46063661.

It can be written as a sum of positive squares in 4 ways, for example, as 15840400 + 795664 = 3980^2 + 892^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 16636064.

It is not an unprimeable number, because it can be changed into a prime (16636069) 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 7 ways as a sum of consecutive naturals, for example, 28544 + ... + 29120.

Almost surely, 216636064 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 16636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697204).

16636064 is an abundant number, since it is smaller than the sum of its proper divisors (18758344).

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

16636064 is a wasteful number, since it uses less digits than its factorization.

16636064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 16636064 is about 4078.7331366492. The cubic root of 16636064 is about 255.2800409304.

The spelling of 16636064 in words is "sixteen million, six hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 577 848 901 1154 1696 1802 2308 3604 4616 7208 9232 9809 14416 18464 19618 28832 30581 39236 61162 78472 122324 156944 244648 313888 489296 519877 978592 1039754 2079508 4159016 8318032 16636064