Search a number
-
+
21486384 = 243459281
BaseRepresentation
bin101000111110…
…1101100110000
31111102121210000
41101331230300
521000031014
62044310000
7350426343
oct121755460
944377700
1021486384
1111146047
127242300
1345b3b4a
142bd445a
151d46509
hex147db30

21486384 has 100 divisors (see below), whose sum is σ = 63466920. Its totient is φ = 7015680.

The previous prime is 21486371. The next prime is 21486389. The reversal of 21486384 is 48368412.

21486384 is a `hidden beast` number, since 2 + 14 + 8 + 638 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21486389) 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 19 ways as a sum of consecutive naturals, for example, 76324 + ... + 76604.

Almost surely, 221486384 is an apocalyptic number.

21486384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21486384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31733460).

21486384 is an abundant number, since it is smaller than the sum of its proper divisors (41980536).

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

21486384 is a wasteful number, since it uses less digits than its factorization.

21486384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21486384 is about 4635.3407641726. The cubic root of 21486384 is about 278.0061762167.

The spelling of 21486384 in words is "twenty-one million, four hundred eighty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 281 324 354 432 472 531 562 648 708 843 944 1062 1124 1296 1416 1593 1686 2124 2248 2529 2832 3186 3372 4248 4496 4779 5058 6372 6744 7587 8496 9558 10116 12744 13488 15174 16579 19116 20232 22761 25488 30348 33158 38232 40464 45522 49737 60696 66316 76464 91044 99474 121392 132632 149211 182088 198948 265264 298422 364176 397896 447633 596844 795792 895266 1193688 1342899 1790532 2387376 2685798 3581064 5371596 7162128 10743192 21486384