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21144186 = 2337261131
BaseRepresentation
bin101000010101…
…0001001111010
31110210020101000
41100222021322
520403103221
62033105430
7344502600
oct120521172
943706330
1021144186
1110a31a38
1270b8276
1344c416b
142b45870
151cc9e26
hex142a27a

21144186 has 96 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 5896800.

The previous prime is 21144181. The next prime is 21144187. The reversal of 21144186 is 68144112.

It is a happy number.

21144186 is a `hidden beast` number, since 211 + 441 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21144181) 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 47 ways as a sum of consecutive naturals, for example, 161341 + ... + 161471.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 221144186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

21144186 is an abundant number, since it is smaller than the sum of its proper divisors (34834374).

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

21144186 is a wasteful number, since it uses less digits than its factorization.

21144186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 21144186 is about 4598.2807656775. The cubic root of 21144186 is about 276.5224037820.

Adding to 21144186 its reverse (68144112), we get a palindrome (89288298).

The spelling of 21144186 in words is "twenty-one million, one hundred forty-four thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 131 147 183 189 262 294 366 378 393 427 441 549 786 854 882 917 1098 1179 1281 1323 1647 1834 2358 2562 2646 2751 2989 3294 3537 3843 5502 5978 6419 7074 7686 7991 8253 8967 11529 12838 15982 16506 17934 19257 23058 23973 24759 26901 38514 47946 49518 53802 55937 57771 71919 80703 111874 115542 143838 161406 167811 173313 215757 335622 346626 391559 431514 503433 783118 1006866 1174677 1510299 2349354 3020598 3524031 7048062 10572093 21144186