Search a number
-
+
66330800 = 24521391193
BaseRepresentation
bin1111110100001…
…0000010110000
311121210221202022
43331002002300
5113440041200
610325411012
71433542154
oct375020260
9147727668
1066330800
1134495348
121a269a68
13109856c3
148b49064
155c53885
hex3f420b0

66330800 has 60 divisors (see below), whose sum is σ = 160640760. Its totient is φ = 26319360.

The previous prime is 66330791. The next prime is 66330839. The reversal of 66330800 is 803366.

It is a self number, because there is not a number n which added to its sum of digits gives 66330800.

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, 55004 + ... + 56196.

It is an arithmetic number, because the mean of its divisors is an integer number (2677346).

Almost surely, 266330800 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 66330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80320380).

66330800 is an abundant number, since it is smaller than the sum of its proper divisors (94309960).

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

66330800 is a wasteful number, since it uses less digits than its factorization.

66330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 66330800 is about 8144.3722901154. The cubic root of 66330800 is about 404.7980500044.

The spelling of 66330800 in words is "sixty-six million, three hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1193 1390 2224 2386 2780 3475 4772 5560 5965 6950 9544 11120 11930 13900 19088 23860 27800 29825 47720 55600 59650 95440 119300 165827 238600 331654 477200 663308 829135 1326616 1658270 2653232 3316540 4145675 6633080 8291350 13266160 16582700 33165400 66330800