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21252006 = 23217199349
BaseRepresentation
bin101000100010…
…0011110100110
31110222201021100
41101010132212
520420031011
62035300530
7345432126
oct121043646
943881240
1021252006
1110aa5a46
12714a746
134531269
142b72c86
151cebd56
hex14447a6

21252006 has 48 divisors (see below), whose sum is σ = 49140000. Its totient is φ = 6614784.

The previous prime is 21252001. The next prime is 21252017. The reversal of 21252006 is 60025212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21252006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21252001) 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 23 ways as a sum of consecutive naturals, for example, 60720 + ... + 61068.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 221252006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21252006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570000).

21252006 is an abundant number, since it is smaller than the sum of its proper divisors (27887994).

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

21252006 is a wasteful number, since it uses less digits than its factorization.

21252006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21252006 is about 4609.9898047610. The cubic root of 21252006 is about 276.9916282925.

Adding to 21252006 its reverse (60025212), we get a palindrome (81277218).

The spelling of 21252006 in words is "twenty-one million, two hundred fifty-two thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 306 349 398 597 698 1047 1194 1791 2094 3141 3383 3582 5933 6282 6766 10149 11866 17799 20298 30447 35598 53397 60894 69451 106794 138902 208353 416706 625059 1180667 1250118 2361334 3542001 7084002 10626003 21252006