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66063305 = 5711296197
BaseRepresentation
bin1111110000000…
…0101111001001
311121022100211002
43330000233021
5113403011210
610315544345
71431346250
oct374005711
9147270732
1066063305
1134322380
121a15b0b5
13108c0a19
148ab9797
155bee4a5
hex3f00bc9

66063305 has 64 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 38707200.

The previous prime is 66063293. The next prime is 66063307. The reversal of 66063305 is 50336066.

66063305 = 3052 + 3062 + ... + 6092.

66063305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66063305 - 24 = 66063289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (66063307) 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 63 ways as a sum of consecutive naturals, for example, 681017 + ... + 681113.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 266063305 is an apocalyptic number.

It is an amenable number.

66063305 is a deficient number, since it is larger than the sum of its proper divisors (38929975).

66063305 is a wasteful number, since it uses less digits than its factorization.

66063305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 66063305 is about 8127.9336242369. The cubic root of 66063305 is about 404.2531681977.

66063305 divided by its sum of digits (29) gives a triangular number (2278045 = T2134).

The spelling of 66063305 in words is "sixty-six million, sixty-three thousand, three hundred five".

Divisors: 1 5 7 11 29 35 55 61 77 97 145 203 305 319 385 427 485 671 679 1015 1067 1595 1769 2135 2233 2813 3355 3395 4697 5335 5917 7469 8845 11165 12383 14065 19459 19691 23485 29585 30943 37345 41419 61915 65087 97295 98455 136213 154715 171593 207095 216601 325435 455609 681065 857965 1083005 1201151 1887523 2278045 6005755 9437615 13212661 66063305