Search a number
-
+
18420384 = 2531711287
BaseRepresentation
bin100011001000…
…1001010100000
31021122212000110
41012101022200
514203423014
61454451320
7312366513
oct106211240
937585013
1018420384
11a441564
126203b40
133a7c448
142636d7a
15193cd59
hex11912a0

18420384 has 48 divisors (see below), whose sum is σ = 51202368. Its totient is φ = 5778432.

The previous prime is 18420379. The next prime is 18420407. The reversal of 18420384 is 48302481.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4012 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (1066716).

Almost surely, 218420384 is an apocalyptic number.

It is an amenable number.

18420384 is an abundant number, since it is smaller than the sum of its proper divisors (32781984).

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

18420384 is a wasteful number, since it uses less digits than its factorization.

18420384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11317 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 18420384 is about 4291.8974824662. The cubic root of 18420384 is about 264.0986775288.

The spelling of 18420384 in words is "eighteen million, four hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 11287 22574 33861 45148 67722 90296 135444 180592 191879 270888 361184 383758 541776 575637 767516 1083552 1151274 1535032 2302548 3070064 4605096 6140128 9210192 18420384