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66366960 = 243511231093
BaseRepresentation
bin1111110100101…
…0110111110000
311121212210100120
43331022313300
5113442220320
610330250240
71434052452
oct375126760
9147783316
1066366960
113450a530
121a286980
1310998cba
148b582d2
155c5e440
hex3f4adf0

66366960 has 160 divisors (see below), whose sum is σ = 234413568. Its totient is φ = 15375360.

The previous prime is 66366959. The next prime is 66366973. The reversal of 66366960 is 6966366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60174 + ... + 61266.

Almost surely, 266366960 is an apocalyptic number.

66366960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117206784).

66366960 is an abundant number, since it is smaller than the sum of its proper divisors (168046608).

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

66366960 is a wasteful number, since it uses less digits than its factorization.

66366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 66366960 is about 8146.5919254618. The cubic root of 66366960 is about 404.8715947148.

The spelling of 66366960 in words is "sixty-six million, three hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1093 1104 1265 1320 1380 1518 1840 2024 2186 2530 2640 2760 3036 3279 3795 4048 4372 5060 5465 5520 6072 6558 7590 8744 10120 10930 12023 12144 13116 15180 16395 17488 20240 21860 24046 25139 26232 30360 32790 36069 43720 48092 50278 52464 60115 60720 65580 72138 75417 87440 96184 100556 120230 125695 131160 144276 150834 180345 192368 201112 240460 251390 262320 276529 288552 301668 360690 377085 402224 480920 502780 553058 577104 603336 721380 754170 829587 961840 1005560 1106116 1206672 1382645 1442760 1508340 1659174 2011120 2212232 2765290 2885520 3016680 3318348 4147935 4424464 5530580 6033360 6636696 8295870 11061160 13273392 16591740 22122320 33183480 66366960