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21284538 = 231131101103
BaseRepresentation
bin101000100110…
…0011010111010
31111001100220020
41101030122322
520422101123
62040111310
7345626022
oct121143272
944040806
1021284538
1111018430
127165536
134543002
142b80a82
151d067e3
hex144c6ba

21284538 has 64 divisors (see below), whose sum is σ = 48881664. Its totient is φ = 6120000.

The previous prime is 21284533. The next prime is 21284551. The reversal of 21284538 is 83548212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 21284499 and 21284508.

It is not an unprimeable number, because it can be changed into a prime (21284533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206595 + ... + 206697.

It is an arithmetic number, because the mean of its divisors is an integer number (763776).

Almost surely, 221284538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24440832).

21284538 is an abundant number, since it is smaller than the sum of its proper divisors (27597126).

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

21284538 is a wasteful number, since it uses less digits than its factorization.

21284538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its digits is 15360, while the sum is 33.

The square root of 21284538 is about 4613.5168797784. The cubic root of 21284538 is about 277.1328933504.

It can be divided in two parts, 2128 and 4538, that added together give a palindrome (6666).

The spelling of 21284538 in words is "twenty-one million, two hundred eighty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 103 186 202 206 303 309 341 606 618 682 1023 1111 1133 2046 2222 2266 3131 3193 3333 3399 6262 6386 6666 6798 9393 9579 10403 18786 19158 20806 31209 34441 35123 62418 68882 70246 103323 105369 114433 206646 210738 228866 322493 343299 644986 686598 967479 1934958 3547423 7094846 10642269 21284538