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21006324 = 22331929353
BaseRepresentation
bin101000000100…
…0011111110100
31110112020021000
41100020133310
520334200244
62030123300
7343356633
oct120103764
943466230
1021006324
11109483a9
127050530
1344764a1
142b0b51a
151c9e169
hex14087f4

21006324 has 96 divisors (see below), whose sum is σ = 59472000. Its totient is φ = 6386688.

The previous prime is 21006311. The next prime is 21006329. The reversal of 21006324 is 42360012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21006297 and 21006306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006329) 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 31 ways as a sum of consecutive naturals, for example, 59332 + ... + 59684.

It is an arithmetic number, because the mean of its divisors is an integer number (619500).

Almost surely, 221006324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21006324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29736000).

21006324 is an abundant number, since it is smaller than the sum of its proper divisors (38465676).

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

21006324 is a wasteful number, since it uses less digits than its factorization.

21006324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21006324 is about 4583.2656479851. The cubic root of 21006324 is about 275.9201092022.

Adding to 21006324 its reverse (42360012), we get a palindrome (63366336).

The spelling of 21006324 in words is "twenty-one million, six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 87 108 114 116 171 174 228 261 342 348 353 513 522 551 684 706 783 1026 1044 1059 1102 1412 1566 1653 2052 2118 2204 3132 3177 3306 4236 4959 6354 6612 6707 9531 9918 10237 12708 13414 14877 19062 19836 20121 20474 26828 29754 30711 38124 40242 40948 59508 60363 61422 80484 92133 120726 122844 181089 184266 194503 241452 276399 362178 368532 389006 552798 583509 724356 778012 1105596 1167018 1750527 2334036 3501054 5251581 7002108 10503162 21006324