Search a number
-
+
133092441 = 3237399677
BaseRepresentation
bin1111110111011…
…01010001011001
3100021102210111200
413323231101121
5233032424231
621112344413
73204160416
oct773552131
9307383450
10133092441
1169144359
12386a5109
132175c231
141396710d
15ba3ebe6
hex7eed459

133092441 has 12 divisors (see below), whose sum is σ = 197440932. Its totient is φ = 86330016.

The previous prime is 133092431. The next prime is 133092451. The reversal of 133092441 is 144290331.

133092441 is a `hidden beast` number, since 133 + 0 + 92 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (133092431) and next prime (133092451).

It can be written as a sum of positive squares in 2 ways, for example, as 63536841 + 69555600 = 7971^2 + 8340^2 .

It is not a de Polignac number, because 133092441 - 223 = 124703833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133092431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199506 + ... + 200171.

It is an arithmetic number, because the mean of its divisors is an integer number (16453411).

Almost surely, 2133092441 is an apocalyptic number.

It is an amenable number.

133092441 is a deficient number, since it is larger than the sum of its proper divisors (64348491).

133092441 is a wasteful number, since it uses less digits than its factorization.

133092441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399720 (or 399717 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133092441 is about 11536.5697241424. The cubic root of 133092441 is about 510.5651060131.

The spelling of 133092441 in words is "one hundred thirty-three million, ninety-two thousand, four hundred forty-one".

Divisors: 1 3 9 37 111 333 399677 1199031 3597093 14788049 44364147 133092441