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21141220 = 2251935477
BaseRepresentation
bin101000010100…
…1011011100100
31110210002022011
41100221123210
520403004340
62033044004
7344461132
oct120513344
943702264
1021141220
1110a2a791
1270b6604
1344c29c9
142b44752
151cc90ea
hex14296e4

21141220 has 24 divisors (see below), whose sum is σ = 44634744. Its totient is φ = 8411136.

The previous prime is 21141161. The next prime is 21141227. The reversal of 21141220 is 2214112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 15069924 = 2464^2 + 3882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21141220.

It is not an unprimeable number, because it can be changed into a prime (21141227) 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, 1122 + ... + 6598.

It is an arithmetic number, because the mean of its divisors is an integer number (1859781).

Almost surely, 221141220 is an apocalyptic number.

21141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21141220 is an abundant number, since it is smaller than the sum of its proper divisors (23493524).

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

21141220 is a wasteful number, since it uses less digits than its factorization.

21141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 21141220 is about 4597.9582425246. The cubic root of 21141220 is about 276.5094734537.

Adding to 21141220 its reverse (2214112), we get a palindrome (23355332).

The spelling of 21141220 in words is "twenty-one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 5477 10954 21908 27385 54770 109540 1057061 2114122 4228244 5285305 10570610 21141220