Search a number
-
+
20186264 = 2374383101
BaseRepresentation
bin100110100000…
…0010010011000
31101222120100102
41031000102120
520131430024
62000354532
7333403040
oct115002230
941876312
1020186264
111043826a
126915a48
13424a147
142976720
151b8b1ae
hex1340498

20186264 has 64 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 8265600.

The previous prime is 20186261. The next prime is 20186273. The reversal of 20186264 is 46268102.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20186261) 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, 199814 + ... + 199914.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 220186264 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 20186264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

20186264 is an abundant number, since it is smaller than the sum of its proper divisors (25052776).

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

20186264 is a wasteful number, since it uses less digits than its factorization.

20186264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 20186264 is about 4492.9126410381. The cubic root of 20186264 is about 272.2818229504.

The spelling of 20186264 in words is "twenty million, one hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 43 56 83 86 101 166 172 202 301 332 344 404 581 602 664 707 808 1162 1204 1414 2324 2408 2828 3569 4343 4648 5656 7138 8383 8686 14276 16766 17372 24983 28552 30401 33532 34744 49966 58681 60802 67064 99932 117362 121604 199864 234724 243208 360469 469448 720938 1441876 2523283 2883752 5046566 10093132 20186264