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66201330 = 23513199853
BaseRepresentation
bin1111110010001…
…0011011110010
311121120101011010
43330202123302
5113421420310
610322531350
71432462536
oct374423362
9147511133
1066201330
1134407048
121a206b56
131093b7b0
148b13bc6
155c2a320
hex3f226f2

66201330 has 64 divisors (see below), whose sum is σ = 172166400. Its totient is φ = 16194816.

The previous prime is 66201313. The next prime is 66201361. The reversal of 66201330 is 3310266.

It is a junction number, because it is equal to n+sod(n) for n = 66201297 and 66201306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77184 + ... + 78036.

It is an arithmetic number, because the mean of its divisors is an integer number (2690100).

Almost surely, 266201330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86083200).

66201330 is an abundant number, since it is smaller than the sum of its proper divisors (105965070).

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

66201330 is a wasteful number, since it uses less digits than its factorization.

66201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66201330 is about 8136.4199744114. The cubic root of 66201330 is about 404.5345055703.

Adding to 66201330 its reverse (3310266), we get a palindrome (69511596).

The spelling of 66201330 in words is "sixty-six million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 390 398 597 853 995 1194 1706 1990 2559 2587 2985 4265 5118 5174 5970 7761 8530 11089 12795 12935 15522 22178 25590 25870 33267 38805 55445 66534 77610 110890 166335 169747 332670 339494 509241 848735 1018482 1697470 2206711 2546205 4413422 5092410 6620133 11033555 13240266 22067110 33100665 66201330