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132024141 = 3319416277
BaseRepresentation
bin1111101111010…
…00011101001101
3100012102112002000
413313220131031
5232244233031
621033422513
73162121014
oct767503515
9305375060
10132024141
1168584767
123826aa39
1321476bc2
1413769a7b
15b8cd3e6
hex7de874d

132024141 has 32 divisors (see below), whose sum is σ = 210940800. Its totient is φ = 81336960.

The previous prime is 132024121. The next prime is 132024143. The reversal of 132024141 is 141420231.

It is not a de Polignac number, because 132024141 - 29 = 132023629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132024143) 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 31 ways as a sum of consecutive naturals, for example, 17895 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (6591900).

Almost surely, 2132024141 is an apocalyptic number.

It is an amenable number.

132024141 is a deficient number, since it is larger than the sum of its proper divisors (78916659).

132024141 is a wasteful number, since it uses less digits than its factorization.

132024141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132024141 is about 11490.1758472184. The cubic root of 132024141 is about 509.1953748119.

Adding to 132024141 its reverse (141420231), we get a palindrome (273444372).

The spelling of 132024141 in words is "one hundred thirty-two million, twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 41 57 123 171 369 513 779 1107 2337 6277 7011 18831 21033 56493 119263 169479 257357 357789 772071 1073367 2316213 3220101 4889783 6948639 14669349 44008047 132024141