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21418384 = 24132892
BaseRepresentation
bin101000110110…
…1000110010000
31111022011111111
41101231012100
520440342014
62043023104
7350024161
oct121550620
944264444
1021418384
11110a9a49
12720aa94
13458bc00
142bb7768
151d312c4
hex146d190

21418384 has 45 divisors (see below), whose sum is σ = 45446403. Its totient is φ = 9774336.

The previous prime is 21418379. The next prime is 21418403. The reversal of 21418384 is 48381412.

The square root of 21418384 is 4628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9363600 + 12054784 = 3060^2 + 3472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240612 + ... + 240700.

Almost surely, 221418384 is an apocalyptic number.

21418384 is the 4628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21418384

21418384 is an abundant number, since it is smaller than the sum of its proper divisors (24028019).

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

21418384 is an equidigital number, since it uses as much as digits as its factorization.

21418384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The cubic root of 21418384 is about 277.7125887678.

Adding to 21418384 its reverse (48381412), we get a palindrome (69799796).

The spelling of 21418384 in words is "twenty-one million, four hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 169 178 208 338 356 676 712 1157 1352 1424 2314 2704 4628 7921 9256 15041 15842 18512 30082 31684 60164 63368 102973 120328 126736 205946 240656 411892 823784 1338649 1647568 2677298 5354596 10709192 21418384