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66330180 = 22325761863
BaseRepresentation
bin1111110100000…
…1111001000100
311121210220220100
43331001321010
5113440031210
610325404100
71433540310
oct375017104
9147726810
1066330180
1134494934
121a269630
1310985337
148b48b40
155c535c0
hex3f41e44

66330180 has 144 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 14895360.

The previous prime is 66330179. The next prime is 66330191. The reversal of 66330180 is 8103366.

66330180 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 47 ways as a sum of consecutive naturals, for example, 76429 + ... + 77291.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 266330180 is an apocalyptic number.

66330180 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 66330180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

66330180 is an abundant number, since it is smaller than the sum of its proper divisors (167654844).

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

66330180 is a wasteful number, since it uses less digits than its factorization.

66330180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66330180 is about 8144.3342269335. The cubic root of 66330180 is about 404.7967887725.

The spelling of 66330180 in words is "sixty-six million, three hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 863 915 1098 1220 1260 1281 1708 1726 1830 2135 2196 2562 2589 2745 3452 3660 3843 4270 4315 5124 5178 5490 6041 6405 7686 7767 8540 8630 10356 10980 12082 12810 12945 15372 15534 17260 18123 19215 24164 25620 25890 30205 31068 36246 38430 38835 51780 52643 54369 60410 72492 76860 77670 90615 105286 108738 120820 155340 157929 181230 210572 217476 263215 271845 315858 362460 368501 473787 526430 543690 631716 737002 789645 947574 1052860 1087380 1105503 1474004 1579290 1842505 1895148 2211006 2368935 3158580 3316509 3685010 4422012 4737870 5527515 6633018 7370020 9475740 11055030 13266036 16582545 22110060 33165090 66330180