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21210660 = 2234513093
BaseRepresentation
bin101000011101…
…0011000100100
31110220121120000
41100322120210
520412220120
62034341300
7345200442
oct120723044
943817500
1021210660
1110a77979
12712a830
1345184b3
142b61b92
151cde990
hex143a624

21210660 has 60 divisors (see below), whose sum is σ = 66543708. Its totient is φ = 5655744.

The previous prime is 21210649. The next prime is 21210691. The reversal of 21210660 is 6601212.

It is a happy number.

21210660 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 0 + 660 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 7193124 = 3744^2 + 2682^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4927 + ... + 8166.

Almost surely, 221210660 is an apocalyptic number.

21210660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210660 is an abundant number, since it is smaller than the sum of its proper divisors (45333048).

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

21210660 is a wasteful number, since it uses less digits than its factorization.

21210660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21210660 is about 4605.5032298328. The cubic root of 21210660 is about 276.8118816388.

Adding to 21210660 its reverse (6601212), we get a palindrome (27811872).

It can be divided in two parts, 21 and 210660, that added together give a square (210681 = 4592).

The spelling of 21210660 in words is "twenty-one million, two hundred ten thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 13093 26186 39279 52372 65465 78558 117837 130930 157116 196395 235674 261860 353511 392790 471348 589185 707022 785580 1060533 1178370 1414044 1767555 2121066 2356740 3535110 4242132 5302665 7070220 10605330 21210660