Search a number
-
+
12708945 = 3251737449
BaseRepresentation
bin110000011110…
…110001010001
3212220200101200
4300132301101
511223141240
61132221413
7213011214
oct60366121
925820350
1012708945
1171a0467
12430a869
13282c8b2
14198b77b
1511b0930
hexc1ec51

12708945 has 48 divisors (see below), whose sum is σ = 24008400. Its totient is φ = 6193152.

The previous prime is 12708937. The next prime is 12708961. The reversal of 12708945 is 54980721.

It can be written as a sum of positive squares in 8 ways, for example, as 1580049 + 11128896 = 1257^2 + 3336^2 .

It is not a de Polignac number, because 12708945 - 23 = 12708937 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 28081 + ... + 28529.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 212708945 is an apocalyptic number.

12708945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12708945 is a deficient number, since it is larger than the sum of its proper divisors (11299455).

12708945 is a wasteful number, since it uses less digits than its factorization.

12708945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12708945 is about 3564.9607290965. The cubic root of 12708945 is about 233.3654184903.

The spelling of 12708945 in words is "twelve million, seven hundred eight thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 449 555 629 765 1347 1665 1887 2245 3145 4041 5661 6735 7633 9435 16613 20205 22899 28305 38165 49839 68697 83065 114495 149517 249195 282421 343485 747585 847263 1412105 2541789 4236315 12708945