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132075 = 3252587
BaseRepresentation
bin100000001111101011
320201011200
4200033223
513211300
62455243
71060026
oct401753
9221150
10132075
1190259
1264523
1348168
14361bd
1529200
hex203eb

132075 has 18 divisors (see below), whose sum is σ = 236964. Its totient is φ = 70320.

The previous prime is 132071. The next prime is 132103. The reversal of 132075 is 570231.

132075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132075 - 22 = 132071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69 + ... + 518.

2132075 is an apocalyptic number.

132075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132075 is a deficient number, since it is larger than the sum of its proper divisors (104889).

132075 is a wasteful number, since it uses less digits than its factorization.

132075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 132075 is about 363.4212431876. The cubic root of 132075 is about 50.9260751348.

The spelling of 132075 in words is "one hundred thirty-two thousand, seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 587 1761 2935 5283 8805 14675 26415 44025 132075