Search a number
-
+
21284046 = 23471372
BaseRepresentation
bin101000100110…
…0010011001110
31111001100020000
41101030103032
520422042141
62040105130
7345624420
oct121142316
944040200
1021284046
1111018023
1271651a6
134542a14
142b80810
151d065b6
hex144c4ce

21284046 has 60 divisors (see below), whose sum is σ = 54905928. Its totient is φ = 6036768.

The previous prime is 21284041. The next prime is 21284093. The reversal of 21284046 is 64048212.

It is a super-2 number, since 2×212840462 = 906021228260232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21284041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 155290 + ... + 155426.

Almost surely, 221284046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27452964).

21284046 is an abundant number, since it is smaller than the sum of its proper divisors (33621882).

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

21284046 is an equidigital number, since it uses as much as digits as its factorization.

21284046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 21284046 is about 4613.4635578923. The cubic root of 21284046 is about 277.1307579907.

The spelling of 21284046 in words is "twenty-one million, two hundred eighty-four thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 137 162 189 274 378 411 567 822 959 1134 1233 1918 2466 2877 3699 5754 7398 8631 11097 17262 18769 22194 25893 37538 51786 56307 77679 112614 131383 155358 168921 262766 337842 394149 506763 788298 1013526 1182447 1520289 2364894 3040578 3547341 7094682 10642023 21284046