Search a number
-
+
66138241 = 1329175433
BaseRepresentation
bin1111110001001…
…1000010000001
311121110011121111
43330103002001
5113412410431
610321323321
71432110601
oct374230201
9147404544
1066138241
1134373704
121a196541
1310918b70
148ad8c01
155c167b1
hex3f13081

66138241 has 8 divisors (see below), whose sum is σ = 73682280. Its totient is φ = 58945152.

The previous prime is 66138239. The next prime is 66138251. The reversal of 66138241 is 14283166.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 66080641 = 240^2 + 8129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66138241 - 21 = 66138239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66138251) 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 7 ways as a sum of consecutive naturals, for example, 87340 + ... + 88093.

It is an arithmetic number, because the mean of its divisors is an integer number (9210285).

Almost surely, 266138241 is an apocalyptic number.

It is an amenable number.

66138241 is a deficient number, since it is larger than the sum of its proper divisors (7544039).

66138241 is a wasteful number, since it uses less digits than its factorization.

66138241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175475.

The product of its digits is 6912, while the sum is 31.

The square root of 66138241 is about 8132.5420994914. The cubic root of 66138241 is about 404.4059593664.

The spelling of 66138241 in words is "sixty-six million, one hundred thirty-eight thousand, two hundred forty-one".

Divisors: 1 13 29 377 175433 2280629 5087557 66138241