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290132505 = 32513495953
BaseRepresentation
bin10001010010110…
…001001000011001
3202012221020222100
4101102301020121
51043233220010
644442314013
710122041235
oct2122611031
9665836870
10290132505
11139854933
12811b8909
1348154650
142a7655c5
151a7102c0
hex114b1219

290132505 has 24 divisors (see below), whose sum is σ = 541581768. Its totient is φ = 142834176.

The previous prime is 290132497. The next prime is 290132509. The reversal of 290132505 is 505231092.

290132505 is a `hidden beast` number, since 29 + 0 + 132 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11108889 + 279023616 = 3333^2 + 16704^2 .

It is not a de Polignac number, because 290132505 - 23 = 290132497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290132509) 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 23 ways as a sum of consecutive naturals, for example, 247392 + ... + 248561.

It is an arithmetic number, because the mean of its divisors is an integer number (22565907).

Almost surely, 2290132505 is an apocalyptic number.

It is an amenable number.

290132505 is a deficient number, since it is larger than the sum of its proper divisors (251449263).

290132505 is a wasteful number, since it uses less digits than its factorization.

290132505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495977 (or 495974 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 290132505 is about 17033.2764023837. The cubic root of 290132505 is about 662.0113914792.

Adding to 290132505 its reverse (505231092), we get a palindrome (795363597).

The spelling of 290132505 in words is "two hundred ninety million, one hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 495953 1487859 2479765 4463577 6447389 7439295 19342167 22317885 32236945 58026501 96710835 290132505