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ABA n.  and  Achilles n.

First numbers that belong to both sets:

72, 200, 288, 392, 648, 800, 968, 1152, 1352, 1568, 1800, 2312, 2592, 2888, 3200, 3528, 3872, 4232, 4608, 5000, 5408, 6272, 6728, 7200, 7688, 8712, 9248, 9800, 10125, 10368, 10952, 11552, 12168, 12800, 13448, 14112, 14792, 15488, 16200, 16928, 17496, 17672, 18432, 19208, 20000, 20808, 21632, 22472, 23328, 24200, 25088, 25992, 26912, 27783, 27848, 28800, 29768, 30752, 31752, 33800, 34848, 35912, 36992, 38088, 39200, 40328, 41472, 42632, 43808, 45000, 46208, 47432, 48672, 49928, 51200, 52488, 53792, 55112, 56448, 57800, 59168, 60552, 61952, 63368, 64800, 66248, 67712, 69192, 70688, 72200, 73728, 75272, 76832, 78408, 80000, 81000, 81608, 83232, 84872, 86528, 88200, 89888, 91592, 93312, 95048, 96800, 98568, 100352, 102152, 103968, 105800, 107648, 107811, 109512, 111392, 113288, 115200, 117128, 119072, 121032, 123008, 127008, 129032, 133128, 135200, 137288, 139392, 139968, 141512, 143648, 145800, 147968, 150152, 152352, 154568, 156800, 159048, 161312, 163592, 165888, 168200, 170528, 172872, 175232, 177608, 177957, 180000, 182408, 184832, 187272, 189728, 192200, 194688, 197192, 199712, 202248, 204800, 207368, 209952, 212552, 215168, 217800, 220448, 222264, 223112, 225792, 228488, 231200, 233928, 236672, 239432, 242208, 245000, 247808, 250632, 253472, 256328, 259200, 262088, 264992, 267912, 270848, 273375, 273800, 276768, 279752, 282752, 285768, 288800, 291848, 294912, 297992, 301088, 304200, 307328, 310472, 313632, 316808, 320000, 323208, 326432, 329672, 332928, 336200, 339488, 342792, 346112, 349448, 352800, 356168, 359552, 362952, 366368, 369800, 376712, 380192, 383688, 387200, 390728, 394272, 397832, 397953, 401408, 405000, 408608, 412232, 415872, 419528, 423200, 426888, 430592, 434312, 438048, 441800, 445568, 449352, 453152, 456968, 460800, 464648, 468512, 472392, 476288, 480200, 484128, 488072, 492032, 496008, 500000, 504008, 508032, 512072, 516128, 520200, 528392, 532512, 536648, 540800, 544968, 549152, 553352, 555579, 557568, 561800, 566048, 570312, 574592, 578888, 583200, 587528, 591872, 596232, 600608, 605000, 609408, 613832, 618272, 622728, 627200, 631688.

Some larger examples :