Search a number
-
+
20000432 = 2417232139
BaseRepresentation
bin100110001001…
…0111010110000
31101122010102202
41030102322300
520110003212
61552402332
7332000204
oct114227260
941563382
1020000432
1110320691
1268463a8
1341b369a
142928b04
151b510c2
hex1312eb0

20000432 has 60 divisors (see below), whose sum is σ = 43200360. Its totient is φ = 8937984.

The previous prime is 20000429. The next prime is 20000443. The reversal of 20000432 is 23400002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143819 + ... + 143957.

It is an arithmetic number, because the mean of its divisors is an integer number (720006).

Almost surely, 220000432 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 20000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600180).

20000432 is an abundant number, since it is smaller than the sum of its proper divisors (23199928).

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

20000432 is a wasteful number, since it uses less digits than its factorization.

20000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20000432 is about 4472.1842538071. The cubic root of 20000432 is about 271.4437160261.

Adding to 20000432 its reverse (23400002), we get a palindrome (43400434).

The spelling of 20000432 in words is "twenty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 139 184 272 278 368 391 529 556 782 1058 1112 1564 2116 2224 2363 3128 3197 4232 4726 6256 6394 8464 8993 9452 12788 17986 18904 25576 35972 37808 51152 54349 71944 73531 108698 143888 147062 217396 294124 434792 588248 869584 1176496 1250027 2500054 5000108 10000216 20000432