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65328660 = 22335311389
BaseRepresentation
bin1111100100110…
…1011000010100
311112221001002000
43321031120110
5113211004120
610252115300
71422166365
oct371153024
9145831060
1065328660
1133970431
1219a65b30
13106c4517
148967b6c
155b06990
hex3e4d614

65328660 has 96 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 17320320.

The previous prime is 65328617. The next prime is 65328661. The reversal of 65328660 is 6682356.

65328660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65328661) by changing a digit.

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, 167746 + ... + 168134.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 265328660 is an apocalyptic number.

65328660 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 65328660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

65328660 is an abundant number, since it is smaller than the sum of its proper divisors (139093740).

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

65328660 is a wasteful number, since it uses less digits than its factorization.

65328660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 65328660 is about 8082.6146759573. The cubic root of 65328660 is about 402.7491044440.

The spelling of 65328660 in words is "sixty-five million, three hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 311 389 540 622 778 933 1167 1244 1555 1556 1866 1945 2334 2799 3110 3501 3732 3890 4665 4668 5598 5835 6220 7002 7780 8397 9330 10503 11196 11670 13995 14004 16794 17505 18660 21006 23340 27990 33588 35010 41985 42012 52515 55980 70020 83970 105030 120979 167940 210060 241958 362937 483916 604895 725874 1088811 1209790 1451748 1814685 2177622 2419580 3266433 3629370 4355244 5444055 6532866 7258740 10888110 13065732 16332165 21776220 32664330 65328660