Search a number
-
+
20186292 = 22371671439
BaseRepresentation
bin100110100000…
…0010010110100
31101222120101110
41031000102310
520131430132
62000355020
7333403110
oct115002264
941876343
1020186292
1110438295
126915a70
13424a169
142976740
151b8b1cc
hex13404b4

20186292 has 48 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 5728992.

The previous prime is 20186281. The next prime is 20186297. The reversal of 20186292 is 29268102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20186297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13309 + ... + 14747.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 220186292 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 20186292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

20186292 is an abundant number, since it is smaller than the sum of its proper divisors (34003788).

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

20186292 is a wasteful number, since it uses less digits than its factorization.

20186292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20186292 is about 4492.9157570558. The cubic root of 20186292 is about 272.2819488427.

The spelling of 20186292 in words is "twenty million, one hundred eighty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 1439 2004 2338 2878 3507 4317 4676 5756 7014 8634 10073 14028 17268 20146 30219 40292 60438 120876 240313 480626 720939 961252 1441878 1682191 2883756 3364382 5046573 6728764 10093146 20186292