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66302320 = 2457197601
BaseRepresentation
bin1111110011101…
…1000101110000
311121202111200111
43330323011300
5113433133240
610325031104
71433363140
oct374730560
9147674614
1066302320
1134475a07
121a255494
1310975756
148b3c920
155c4a1ea
hex3f3b170

66302320 has 80 divisors (see below), whose sum is σ = 177363648. Its totient is φ = 22579200.

The previous prime is 66302317. The next prime is 66302321. The reversal of 66302320 is 2320366.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 66302291 and 66302300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66302321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110020 + ... + 110620.

Almost surely, 266302320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88681824).

66302320 is an abundant number, since it is smaller than the sum of its proper divisors (111061328).

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

66302320 is a wasteful number, since it uses less digits than its factorization.

66302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 66302320 is about 8142.6236558004. The cubic root of 66302320 is about 404.7401065912.

Adding to 66302320 its reverse (2320366), we get a palindrome (68622686).

The spelling of 66302320 in words is "sixty-six million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 601 788 985 1202 1379 1576 1970 2404 2758 3005 3152 3940 4207 4808 5516 6010 6895 7880 8414 9616 11032 12020 13790 15760 16828 21035 22064 24040 27580 33656 42070 48080 55160 67312 84140 110320 118397 168280 236794 336560 473588 591985 828779 947176 1183970 1657558 1894352 2367940 3315116 4143895 4735880 6630232 8287790 9471760 13260464 16575580 33151160 66302320