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66323730 = 235114151
BaseRepresentation
bin1111110100000…
…0010100010010
311121210121001110
43331000110102
5113434324410
610325314150
71433512434
oct375002422
9147717043
1066323730
1134490000
121a265956
1310982415
148b46654
155c51720
hex3f40512

66323730 has 80 divisors (see below), whose sum is σ = 176253120. Its totient is φ = 15972000.

The previous prime is 66323717. The next prime is 66323731. The reversal of 66323730 is 3732366.

It is a super-2 number, since 2×663237302 = 8797674322225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66323731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439155 + ... + 439305.

It is an arithmetic number, because the mean of its divisors is an integer number (2203164).

Almost surely, 266323730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66323730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88126560).

66323730 is an abundant number, since it is smaller than the sum of its proper divisors (109929390).

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

66323730 is a wasteful number, since it uses less digits than its factorization.

66323730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 66323730 is about 8143.9382365045. The cubic root of 66323730 is about 404.7836674255.

The spelling of 66323730 in words is "sixty-six million, three hundred twenty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 151 165 242 302 330 363 453 605 726 755 906 1210 1331 1510 1661 1815 2265 2662 3322 3630 3993 4530 4983 6655 7986 8305 9966 13310 14641 16610 18271 19965 24915 29282 36542 39930 43923 49830 54813 73205 87846 91355 109626 146410 182710 200981 219615 274065 401962 439230 548130 602943 1004905 1205886 2009810 2210791 3014715 4421582 6029430 6632373 11053955 13264746 22107910 33161865 66323730