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amicable n.  and  Harshad n.

First numbers that belong to both sets:

220, 2620, 2924, 67095, 356408, 667964, 1043096, 1125765, 1189150, 1798875, 2803580, 2928136, 5147032, 5730615, 9478910, 9498555, 10572550, 10634085, 13671735, 14084763, 16871582, 17041010, 19154336, 19895265, 19985355, 22227075, 22508145, 22608632, 23389695, 25132545, 25640096, 32642324, 34256222, 35997346, 37848915, 46521405, 53011395, 63560025, 65003175, 66595130, 68891992, 74769345, 79324875, 80422335, 82977345, 87354495, 96304845, 102719740, 109410345, 115447424, 116654896, 120812175, 121293315, 126671985, 134886465, 137424188, 145040288, 146648612, 147366765, 153015550, 165181144, 166212808, 166562685, 169000448, 180038452, 190888155, 194594085, 195857415, 208693628, 210627578, 250876395, 251302370, 256948065, 260231192, 263110815, 266560785, 269448634, 281499435, 284847615, 286000065, 290441770, 291679245, 297034965, 301685895, 304443436, 311414355, 322375784, 323401712, 326754945, 332448224, 334438875, 338659245, 339731955, 339981512, 347263216, 347397705, 347401035, 356714246, 365012325, 365917365, 370032676, 371840350, 377141350, 388904355, 400250565, 405370035, 407641130, 426684375, 429035596, 435691990, 438362984, 447761144, 465418845, 473836365, 475838415, 504555070, 512412550, 514823985, 520218704, 526552472, 528145850, 536637465, 540759375, 551388915, 579926204, 587323485, 601020945, 625482945, 626323995, 640415025, 640866135, 658009485, 659854052, 663576615, 677841165, 688679775, 689830515, 691075330, 705023055, 708157550, 724885425, 726368445, 754484445, 770805945, 787621282, 788056335, 813177585, 825955425, 848771235, 857161935, 869530725, 882865035, 891089368, 931912965, 962951312, 991581075, 992776995, 1002372250, 1002455350, 1024706624, 1055812485, 1078636118, 1088205734, 1093953735, 1100526075, 1101570165, 1101927550, 1118297565, 1143995535, 1153828665, 1241809540, 1246134850, 1292286248, 1292953532, 1309651310, 1310033925, 1317021110, 1320982695, 1321639011, 1333290105, 1335474855, 1365507484, 1375056675, 1395217845, 1448711355, 1456694650, 1457179335, 1469555235, 1486565325, 1502495085, 1505175008, 1509118611, 1532728665, 1550746485, 1577617335, 1607089672, 1713637575, 1741985325, 1770369075, 1774259235, 1786141665, 1793979369, 1964397015, 2033951985, 2052051165, 2052998415, 2057011288, 2070206050, 2099037232, 2131910415, 2141689095, 2154386325, 2158771095, 2172775455, 2207122533, 2217362985, 2220015735, 2221700481, 2294183672, 2310786764, 2312891685, 2323795708, 2359263375, 2378640285, 2402498475, 2402729865, 2426816925, 2428035470, 2493624735, 2499219225, 2573745525, 2592552904, 2675047635, 2729081224, 2752109685, 2762528625, 2764606455, 2828720510, 2894107455, 2935281375, 2960375535, 2961518625, 3001624450, 3124943756, 3232160384, 3235061408, 3293577950, 3342782385, 3359556915, 3396934125, 3410834936, 3414281456, 3415139192, 3427629075, 3431450912, 3443961465, 3502908585, 3513278192, 3554318372, 3564583425, 3601895715, 3604491345, 3611920304, 3647562568, 3693013664, 3715799048, 3737227455, 3743360595, 3743928045, 3751290650, 3797392550, 3848313645, 3868601715, 3917194515, 3961085625, 4000783984, 4028769225, 4056852735, 4088056208, 4096337535.

Some larger examples :