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21003632 = 2413241419
BaseRepresentation
bin101000000011…
…1110101110000
31110112002120022
41100013311300
520334104012
62030103012
7343346036
oct120076560
943462508
1021003632
1110946381
12704aa68
1344751b0
142b0a556
151c9d472
hex1407d70

21003632 has 40 divisors (see below), whose sum is σ = 44111760. Its totient is φ = 9630720.

The previous prime is 21003601. The next prime is 21003637. The reversal of 21003632 is 23630012.

It is a self number, because there is not a number n which added to its sum of digits gives 21003632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003637) 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 7 ways as a sum of consecutive naturals, for example, 49919 + ... + 50337.

It is an arithmetic number, because the mean of its divisors is an integer number (1102794).

Almost surely, 221003632 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 21003632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055880).

21003632 is an abundant number, since it is smaller than the sum of its proper divisors (23108128).

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

21003632 is a wasteful number, since it uses less digits than its factorization.

21003632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 21003632 is about 4582.9719615114. The cubic root of 21003632 is about 275.9083221381.

Adding to 21003632 its reverse (23630012), we get a palindrome (44633644).

The spelling of 21003632 in words is "twenty-one million, three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 419 482 838 964 1676 1928 3133 3352 3856 5447 6266 6704 10894 12532 21788 25064 43576 50128 87152 100979 201958 403916 807832 1312727 1615664 2625454 5250908 10501816 21003632