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21210020 = 2251329297
BaseRepresentation
bin101000011101…
…0001110100100
31110220120200022
41100322032210
520412210040
62034334312
7345165536
oct120721644
943816608
1021210020
1110a77447
12712a398
134518110
142b61856
151cde6b5
hex143a3a4

21210020 has 72 divisors (see below), whose sum is σ = 50190504. Its totient is φ = 7483392.

The previous prime is 21210011. The next prime is 21210037. The reversal of 21210020 is 2001212.

It can be written as a sum of positive squares in 12 ways, for example, as 7974976 + 13235044 = 2824^2 + 3638^2 .

It is a congruent number.

It is an unprimeable number.

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, 218612 + ... + 218708.

Almost surely, 221210020 is an apocalyptic number.

21210020 is a gapful number since it is divisible by the number (20) 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 21210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25095252).

21210020 is an abundant number, since it is smaller than the sum of its proper divisors (28980484).

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

21210020 is a wasteful number, since it uses less digits than its factorization.

21210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 21210020 is about 4605.4337472164. The cubic root of 21210020 is about 276.8090974824.

Adding to 21210020 its reverse (2001212), we get a palindrome (23211232).

The spelling of 21210020 in words is "twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 97 116 130 145 194 260 290 377 388 485 580 754 841 970 1261 1508 1682 1885 1940 2522 2813 3364 3770 4205 5044 5626 6305 7540 8410 10933 11252 12610 14065 16820 21866 25220 28130 36569 43732 54665 56260 73138 81577 109330 146276 163154 182845 218660 326308 365690 407885 731380 815770 1060501 1631540 2121002 4242004 5302505 10605010 21210020