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66705930 = 235597283
BaseRepresentation
bin1111111001110…
…1101000001010
311122112000100000
43332131220022
5114034042210
610341423430
71436663634
oct376355012
9148460300
1066705930
1134721175
121a40ab76
1310a87385
148c05a54
155cc9ac0
hex3f9da0a

66705930 has 96 divisors (see below), whose sum is σ = 182355264. Its totient is φ = 17542656.

The previous prime is 66705923. The next prime is 66705953. The reversal of 66705930 is 3950766.

It is a happy number.

66705930 is a `hidden beast` number, since 6 + 67 + 0 + 593 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235569 + ... + 235851.

It is an arithmetic number, because the mean of its divisors is an integer number (1899534).

Almost surely, 266705930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66705930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91177632).

66705930 is an abundant number, since it is smaller than the sum of its proper divisors (115649334).

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

66705930 is a wasteful number, since it uses less digits than its factorization.

66705930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 66705930 is about 8167.3698336735. The cubic root of 66705930 is about 405.5597199242.

The spelling of 66705930 in words is "sixty-six million, seven hundred five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 243 270 283 291 405 485 486 566 582 810 849 873 970 1215 1415 1455 1698 1746 2430 2547 2619 2830 2910 4245 4365 5094 5238 7641 7857 8490 8730 12735 13095 15282 15714 22923 23571 25470 26190 27451 38205 39285 45846 47142 54902 68769 76410 78570 82353 114615 117855 137255 137538 164706 229230 235710 247059 274510 343845 411765 494118 687690 741177 823530 1235295 1482354 2223531 2470590 3705885 4447062 6670593 7411770 11117655 13341186 22235310 33352965 66705930