Search a number
-
+
18108864 = 2632149211
BaseRepresentation
bin100010100010…
…1000111000000
31021002000200200
41011011013000
514113440424
61444045200
7306631344
oct105050700
937060620
1018108864
11a249504
126093800
1339a0707
142595624
1518ca8c9
hex11451c0

18108864 has 84 divisors (see below), whose sum is σ = 52501800. Its totient is φ = 5967360.

The previous prime is 18108841. The next prime is 18108907. The reversal of 18108864 is 46880181.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85719 + ... + 85929.

Almost surely, 218108864 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 18108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26250900).

18108864 is an abundant number, since it is smaller than the sum of its proper divisors (34392936).

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

18108864 is a wasteful number, since it uses less digits than its factorization.

18108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18108864 is about 4255.4510924225. The cubic root of 18108864 is about 262.6014193141.

The spelling of 18108864 in words is "eighteen million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 192 211 288 298 422 447 576 596 633 844 894 1192 1266 1341 1688 1788 1899 2384 2532 2682 3376 3576 3798 4768 5064 5364 6752 7152 7596 9536 10128 10728 13504 14304 15192 20256 21456 28608 30384 31439 40512 42912 60768 62878 85824 94317 121536 125756 188634 251512 282951 377268 503024 565902 754536 1006048 1131804 1509072 2012096 2263608 3018144 4527216 6036288 9054432 18108864