Search a number
-
+
20368836 = 22321997307
BaseRepresentation
bin100110110110…
…0110111000100
31102022211210100
41031230313010
520203300321
62004324100
7335063235
oct115546704
942284710
1020368836
1110552454
1269a3630
1342b2287
1429c308c
151bc5326
hex136cdc4

20368836 has 72 divisors (see below), whose sum is σ = 54934880. Its totient is φ = 6345216.

The previous prime is 20368819. The next prime is 20368837. The reversal of 20368836 is 63886302.

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 20368836.

It is not an unprimeable number, because it can be changed into a prime (20368837) 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 23 ways as a sum of consecutive naturals, for example, 66195 + ... + 66501.

Almost surely, 220368836 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 20368836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27467440).

20368836 is an abundant number, since it is smaller than the sum of its proper divisors (34566044).

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

20368836 is a wasteful number, since it uses less digits than its factorization.

20368836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

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

The square root of 20368836 is about 4513.1846848982. The cubic root of 20368836 is about 273.1002328883.

The spelling of 20368836 in words is "twenty million, three hundred sixty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 307 342 388 582 614 684 873 921 1164 1228 1746 1842 1843 2763 3492 3684 3686 5526 5529 5833 7372 11052 11058 11666 16587 17499 22116 23332 29779 33174 34998 52497 59558 66348 69996 89337 104994 119116 178674 209988 268011 357348 536022 565801 1072044 1131602 1697403 2263204 3394806 5092209 6789612 10184418 20368836