Search a number
-
+
20444634 = 2327211769
BaseRepresentation
bin100110111111…
…1010111011010
31102110200202200
41031333113122
520213212014
62010111030
7335530230
oct115772732
942420680
1020444634
11105a43a1
126a1b476
13430a922
142a02950
151bdca09
hex137f5da

20444634 has 48 divisors (see below), whose sum is σ = 50930880. Its totient is φ = 5806080.

The previous prime is 20444579. The next prime is 20444639. The reversal of 20444634 is 43644402.

20444634 is a `hidden beast` number, since 20 + 4 + 4 + 4 + 634 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20444598 and 20444607.

It is not an unprimeable number, because it can be changed into a prime (20444639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26202 + ... + 26970.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060).

Almost surely, 220444634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25465440).

20444634 is an abundant number, since it is smaller than the sum of its proper divisors (30486246).

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

20444634 is a wasteful number, since it uses less digits than its factorization.

20444634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 20444634 is about 4521.5742833664. The cubic root of 20444634 is about 273.4385737253.

It can be divided in two parts, 204446 and 34, that added together give a triangular number (204480 = T639).

The spelling of 20444634 in words is "twenty million, four hundred forty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 633 769 1266 1477 1538 1899 2307 2954 3798 4431 4614 5383 6921 8862 10766 13293 13842 16149 26586 32298 48447 96894 162259 324518 486777 973554 1135813 1460331 2271626 2920662 3407439 6814878 10222317 20444634