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21020664 = 2337211593
BaseRepresentation
bin101000000101…
…1111111111000
31110112221221010
41100023333320
520340130124
62030313520
7343446510
oct120137770
943487833
1021020664
1110958155
1270588a0
13447cb82
142b12840
151ca3529
hex140bff8

21020664 has 64 divisors (see below), whose sum is σ = 60445440. Its totient is φ = 5967360.

The previous prime is 21020651. The next prime is 21020683. The reversal of 21020664 is 46602012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21020664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35152 + ... + 35744.

It is an arithmetic number, because the mean of its divisors is an integer number (944460).

Almost surely, 221020664 is an apocalyptic number.

21020664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30222720).

21020664 is an abundant number, since it is smaller than the sum of its proper divisors (39424776).

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

21020664 is a wasteful number, since it uses less digits than its factorization.

21020664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21020664 is about 4584.8297678322. The cubic root of 21020664 is about 275.9828806857.

Adding to 21020664 its reverse (46602012), we get a palindrome (67622676).

The spelling of 21020664 in words is "twenty-one million, twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 593 633 844 1186 1266 1477 1688 1779 2372 2532 2954 3558 4151 4431 4744 5064 5908 7116 8302 8862 11816 12453 14232 16604 17724 24906 33208 35448 49812 99624 125123 250246 375369 500492 750738 875861 1000984 1501476 1751722 2627583 3002952 3503444 5255166 7006888 10510332 21020664