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66027660 = 223517193407
BaseRepresentation
bin1111101111100…
…0000010001100
311121020112220220
43323320002030
5113400341120
610315111340
71431140316
oct373700214
9147215826
1066027660
11342a8616
121a142550
13108aa72a
148aaa7b6
155be3b40
hex3ef808c

66027660 has 96 divisors (see below), whose sum is σ = 206115840. Its totient is φ = 15694848.

The previous prime is 66027649. The next prime is 66027673. The reversal of 66027660 is 6672066.

66027660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17677 + ... + 21083.

It is an arithmetic number, because the mean of its divisors is an integer number (2147040).

Almost surely, 266027660 is an apocalyptic number.

66027660 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 66027660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057920).

66027660 is an abundant number, since it is smaller than the sum of its proper divisors (140088180).

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

66027660 is a wasteful number, since it uses less digits than its factorization.

66027660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 66027660 is about 8125.7405816332. The cubic root of 66027660 is about 404.1804490759.

The spelling of 66027660 in words is "sixty-six million, twenty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3407 3876 4845 6460 6814 9690 10221 13628 17035 19380 20442 34070 40884 51105 57919 64733 68140 102210 115838 129466 173757 194199 204420 231676 258932 289595 323665 347514 388398 579190 647330 695028 776796 868785 970995 1100461 1158380 1294660 1737570 1941990 2200922 3301383 3475140 3883980 4401844 5502305 6602766 11004610 13205532 16506915 22009220 33013830 66027660