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66082320 = 2432591781
BaseRepresentation
bin1111110000010…
…1011000010000
311121100022220100
43330011120100
5113404113240
610320212400
71431455553
oct374053020
9147308810
1066082320
1134335697
121a16a100
13108c9585
148ac269a
155c04e30
hex3f05610

66082320 has 60 divisors (see below), whose sum is σ = 221928876. Its totient is φ = 17621760.

The previous prime is 66082309. The next prime is 66082339. The reversal of 66082320 is 2328066.

It can be written as a sum of positive squares in 2 ways, for example, as 21566736 + 44515584 = 4644^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45171 + ... + 46610.

Almost surely, 266082320 is an apocalyptic number.

66082320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66082320 is an abundant number, since it is smaller than the sum of its proper divisors (155846556).

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

66082320 is a wasteful number, since it uses less digits than its factorization.

66082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91800 (or 91791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66082320 is about 8129.1032715792. The cubic root of 66082320 is about 404.2919498714.

The spelling of 66082320 in words is "sixty-six million, eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 91781 183562 275343 367124 458905 550686 734248 826029 917810 1101372 1376715 1468496 1652058 1835620 2202744 2753430 3304116 3671240 4130145 4405488 5506860 6608232 7342480 8260290 11013720 13216464 16520580 22027440 33041160 66082320