Search a number
-
+
16826436 = 22321142491
BaseRepresentation
bin100000000110…
…0000001000100
31011122212112100
41000030001010
513301421221
61400352100
7263010444
oct100140104
934585470
1016826436
119552a50
125775630
133641a93
142340124
151725926
hex100c044

16826436 has 36 divisors (see below), whose sum is σ = 46401264. Its totient is φ = 5098800.

The previous prime is 16826417. The next prime is 16826437. The reversal of 16826436 is 63462861.

16826436 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 643 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16826436.

It is not an unprimeable number, because it can be changed into a prime (16826437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20850 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (1288924).

Almost surely, 216826436 is an apocalyptic number.

It is an amenable number.

16826436 is an abundant number, since it is smaller than the sum of its proper divisors (29574828).

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

16826436 is a wasteful number, since it uses less digits than its factorization.

16826436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42512 (or 42507 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 16826436 is about 4102.0039005345. The cubic root of 16826436 is about 256.2501014475.

It can be divided in two parts, 1682 and 6436, that added together give a palindrome (8118).

The spelling of 16826436 in words is "sixteen million, eight hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 42491 84982 127473 169964 254946 382419 467401 509892 764838 934802 1402203 1529676 1869604 2804406 4206609 5608812 8413218 16826436