Search a number
-
+
20045536 = 257109821
BaseRepresentation
bin100110001110…
…1111011100000
31101201102022021
41030131323200
520112424121
61553351224
7332245540
oct114357340
941642267
1020045536
1110351565
126868514
1341cb084
14293b320
151b5e641
hex131dee0

20045536 has 48 divisors (see below), whose sum is σ = 45571680. Its totient is φ = 8501760.

The previous prime is 20045521. The next prime is 20045537. The reversal of 20045536 is 63554002.

It is a self number, because there is not a number n which added to its sum of digits gives 20045536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20045537) 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, 24006 + ... + 24826.

It is an arithmetic number, because the mean of its divisors is an integer number (949410).

Almost surely, 220045536 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 20045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785840).

20045536 is an abundant number, since it is smaller than the sum of its proper divisors (25526144).

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

20045536 is a wasteful number, since it uses less digits than its factorization.

20045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 20045536 is about 4477.2241400225. The cubic root of 20045536 is about 271.6476117130.

Adding to 20045536 its reverse (63554002), we get a palindrome (83599538).

The spelling of 20045536 in words is "twenty million, forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 821 872 1526 1642 1744 3052 3284 3488 5747 6104 6568 11494 12208 13136 22988 24416 26272 45976 89489 91952 178978 183904 357956 626423 715912 1252846 1431824 2505692 2863648 5011384 10022768 20045536