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132906241 = 1337327409
BaseRepresentation
bin1111110101111…
…11110100000001
3100021002100002101
413322333310001
5233010444431
621104350401
73202453516
oct772776401
9307070071
10132906241
1169027476
1238615401
13216c5560
141391930d
15ba04961
hex7ebfd01

132906241 has 8 divisors (see below), whose sum is σ = 143518760. Its totient is φ = 122349312.

The previous prime is 132906239. The next prime is 132906253. The reversal of 132906241 is 142609231.

It can be written as a sum of positive squares in 4 ways, for example, as 748225 + 132158016 = 865^2 + 11496^2 .

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 132906241 - 21 = 132906239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132906211) 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 7 ways as a sum of consecutive naturals, for example, 8856 + ... + 18553.

It is an arithmetic number, because the mean of its divisors is an integer number (17939845).

Almost surely, 2132906241 is an apocalyptic number.

It is an amenable number.

132906241 is a deficient number, since it is larger than the sum of its proper divisors (10612519).

132906241 is a wasteful number, since it uses less digits than its factorization.

132906241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27795.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 132906241 is about 11528.4969098317. The cubic root of 132906241 is about 510.3268966642.

The spelling of 132906241 in words is "one hundred thirty-two million, nine hundred six thousand, two hundred forty-one".

Divisors: 1 13 373 4849 27409 356317 10223557 132906241