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66004710 = 23517223331
BaseRepresentation
bin1111101111001…
…0011011100110
311121012101102220
43323302123212
5113344122320
610314413210
71431013362
oct373623346
9147171386
1066004710
1134292352
121a131206
13108a0155
148aa22a2
155bdbe40
hex3ef26e6

66004710 has 96 divisors (see below), whose sum is σ = 176124672. Its totient is φ = 15797760.

The previous prime is 66004709. The next prime is 66004721. The reversal of 66004710 is 1740066.

It is a super-3 number, since 3×660047103 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199245 + ... + 199575.

It is an arithmetic number, because the mean of its divisors is an integer number (1834632).

Almost surely, 266004710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66004710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88062336).

66004710 is an abundant number, since it is smaller than the sum of its proper divisors (110119962).

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

66004710 is a wasteful number, since it uses less digits than its factorization.

66004710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 66004710 is about 8124.3282799257. The cubic root of 66004710 is about 404.1336150863.

Adding to 66004710 its reverse (1740066), we get a palindrome (67744776).

The spelling of 66004710 in words is "sixty-six million, four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 289 331 345 391 510 578 662 690 782 867 993 1173 1445 1655 1734 1955 1986 2346 2890 3310 3910 4335 4965 5627 5865 6647 7613 8670 9930 11254 11730 13294 15226 16881 19941 22839 28135 33235 33762 38065 39882 45678 56270 66470 76130 84405 95659 99705 114195 129421 168810 191318 199410 228390 258842 286977 388263 478295 573954 647105 776526 956590 1294210 1434885 1941315 2200157 2869770 3882630 4400314 6600471 11000785 13200942 22001570 33002355 66004710