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20884230 = 2345192359
BaseRepresentation
bin100111110101…
…0101100000110
31110022000210000
41033222230012
520321243410
62023342130
7342340653
oct117525406
943260700
1020884230
11108746a4
126bb1946
134432a43
142ab8c2a
151c77dc0
hex13eab06

20884230 has 160 divisors (see below), whose sum is σ = 62726400. Its totient is φ = 4961088.

The previous prime is 20884229. The next prime is 20884247. The reversal of 20884230 is 3248802.

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

It is a junction number, because it is equal to n+sod(n) for n = 20884194 and 20884203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353941 + ... + 353999.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 220884230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20884230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31363200).

20884230 is an abundant number, since it is smaller than the sum of its proper divisors (41842170).

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

20884230 is a wasteful number, since it uses less digits than its factorization.

20884230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20884230 is about 4569.9266952545. The cubic root of 20884230 is about 275.3844979669.

The spelling of 20884230 in words is "twenty million, eight hundred eighty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 27 30 38 45 46 54 57 59 69 81 90 95 114 115 118 135 138 162 171 177 190 207 230 270 285 295 342 345 354 405 414 437 513 531 570 590 621 690 810 855 874 885 1026 1035 1062 1121 1242 1311 1357 1539 1593 1710 1770 1863 2070 2185 2242 2565 2622 2655 2714 3078 3105 3186 3363 3726 3933 4071 4370 4779 5130 5310 5605 6210 6555 6726 6785 7695 7866 7965 8142 9315 9558 10089 11210 11799 12213 13110 13570 15390 15930 16815 18630 19665 20178 20355 23598 23895 24426 25783 30267 33630 35397 36639 39330 40710 47790 50445 51566 58995 60534 61065 70794 73278 77349 90801 100890 109917 117990 122130 128915 151335 154698 176985 181602 183195 219834 232047 257830 302670 353970 366390 386745 454005 464094 549585 696141 773490 908010 1099170 1160235 1392282 2088423 2320470 3480705 4176846 6961410 10442115 20884230