Search a number
-
+
1666060560 = 243252313973
BaseRepresentation
bin110001101001110…
…0001000100010000
311022002222122102200
41203103201010100
511403002414220
6433153243200
756200165263
oct14323410420
94262878380
101666060560
117854a1a5a
123a5b63500
13207225468
1411b3accda
159b3ec890
hex634e1110

1666060560 has 60 divisors (see below), whose sum is σ = 5595189132. Its totient is φ = 444282624.

The previous prime is 1666060519. The next prime is 1666060567. The reversal of 1666060560 is 650606661.

It can be written as a sum of positive squares in 2 ways, for example, as 989228304 + 676832256 = 31452^2 + 26016^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (1666060567) by changing a digit.

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, 1156267 + ... + 1157706.

Almost surely, 21666060560 is an apocalyptic number.

1666060560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1666060560 is an abundant number, since it is smaller than the sum of its proper divisors (3929128572).

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

1666060560 is a wasteful number, since it uses less digits than its factorization.

1666060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313992 (or 2313983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1666060560 is about 40817.4051110553. The cubic root of 1666060560 is about 1185.4873602878.

The spelling of 1666060560 in words is "one billion, six hundred sixty-six million, sixty thousand, five hundred sixty".

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 2313973 4627946 6941919 9255892 11569865 13883838 18511784 20825757 23139730 27767676 34709595 37023568 41651514 46279460 55535352 69419190 83303028 92558920 104128785 111070704 138838380 166606056 185117840 208257570 277676760 333212112 416515140 555353520 833030280 1666060560