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132241005 = 3451325117
BaseRepresentation
bin1111110000111…
…01011001101101
3100012211112120000
413320131121231
5232323203010
621042214513
73164013201
oct770353155
9305745500
10132241005
1168712696
1238354439
1321521820
14137c4b01
15b9227c0
hex7e1d66d

132241005 has 40 divisors (see below), whose sum is σ = 255299352. Its totient is φ = 65100672.

The previous prime is 132240991. The next prime is 132241013. The reversal of 132241005 is 500142231.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 128391561 = 1962^2 + 11331^2 .

It is not a de Polignac number, because 132241005 - 27 = 132240877 is a prime.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7294 + ... + 17823.

Almost surely, 2132241005 is an apocalyptic number.

132241005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132241005 is a deficient number, since it is larger than the sum of its proper divisors (123058347).

132241005 is a wasteful number, since it uses less digits than its factorization.

132241005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147 (or 25138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132241005 is about 11499.6089063933. The cubic root of 132241005 is about 509.4740252106.

Adding to 132241005 its reverse (500142231), we get a palindrome (632383236).

The spelling of 132241005 in words is "one hundred thirty-two million, two hundred forty-one thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 25117 75351 125585 226053 326521 376755 678159 979563 1130265 1632605 2034477 2938689 3390795 4897815 8816067 10172385 14693445 26448201 44080335 132241005