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20989332 = 223271343149
BaseRepresentation
bin101000000010…
…0010110010100
31110111100221200
41100010112110
520333124312
62025512500
7343256250
oct120042624
943440850
1020989332
1110936661
127042730
13446b830
142b05260
151c990dc
hex1404594

20989332 has 144 divisors (see below), whose sum is σ = 67267200. Its totient is φ = 5370624.

The previous prime is 20989321. The next prime is 20989333. The reversal of 20989332 is 23398902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20989333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140794 + ... + 140942.

Almost surely, 220989332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20989332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33633600).

20989332 is an abundant number, since it is smaller than the sum of its proper divisors (46277868).

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

20989332 is a wasteful number, since it uses less digits than its factorization.

20989332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20989332 is about 4581.4115728670. The cubic root of 20989332 is about 275.8456919423.

It can be divided in two parts, 20989 and 332, that added together give a triangular number (21321 = T206).

The spelling of 20989332 in words is "twenty million, nine hundred eighty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 43 52 63 78 84 86 91 117 126 129 149 156 172 182 234 252 258 273 298 301 364 387 447 468 516 546 559 596 602 774 819 894 903 1043 1092 1118 1204 1341 1548 1638 1677 1788 1806 1937 2086 2236 2682 2709 3129 3276 3354 3612 3874 3913 4172 5031 5364 5418 5811 6258 6407 6708 7748 7826 9387 10062 10836 11622 11739 12516 12814 13559 15652 17433 18774 19221 20124 23244 23478 25628 27118 34866 35217 37548 38442 40677 44849 46956 54236 57663 69732 70434 76884 81354 83291 89698 115326 122031 134547 140868 162708 166582 179396 230652 244062 249873 269094 333164 403641 488124 499746 538188 583037 749619 807282 999492 1166074 1499238 1614564 1749111 2332148 2998476 3498222 5247333 6996444 10494666 20989332