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132242523 = 3722967463
BaseRepresentation
bin1111110000111…
…01110001011011
3100012211121122020
413320131301123
5232323230043
621042225523
73164020500
oct770356133
9305747566
10132242523
1168713846
12383552a3
132152241a
14137c54a7
15b922e83
hex7e1dc5b

132242523 has 48 divisors (see below), whose sum is σ = 215815680. Its totient is φ = 71717184.

The previous prime is 132242491. The next prime is 132242531. The reversal of 132242523 is 325242231.

It is not a de Polignac number, because 132242523 - 25 = 132242491 is a prime.

Its product of digits (2880) is a multiple of the sum of its prime factors (576).

It is a junction number, because it is equal to n+sod(n) for n = 132242493 and 132242502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242533) 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 47 ways as a sum of consecutive naturals, for example, 285390 + ... + 285852.

It is an arithmetic number, because the mean of its divisors is an integer number (4496160).

Almost surely, 2132242523 is an apocalyptic number.

132242523 is a deficient number, since it is larger than the sum of its proper divisors (83573157).

132242523 is a wasteful number, since it uses less digits than its factorization.

132242523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 132242523 is about 11499.6749084485. The cubic root of 132242523 is about 509.4759746276.

Adding to 132242523 its reverse (325242231), we get a palindrome (457484754).

The spelling of 132242523 in words is "one hundred thirty-two million, two hundred forty-two thousand, five hundred twenty-three".

Divisors: 1 3 7 21 29 49 67 87 147 201 203 463 469 609 1389 1407 1421 1943 3241 3283 4263 5829 9723 9849 13427 13601 22687 31021 40281 40803 68061 93063 93989 95207 217147 281967 285621 651441 657923 899609 1520029 1973769 2698827 4560087 6297263 18891789 44080841 132242523