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132013424 = 2471791471
BaseRepresentation
bin1111101111001…
…01110101110000
3100012101222101002
413313211311300
5232243412144
621033301132
73162044534
oct767456560
9305358332
10132013424
1168577704
12382647a8
132147206a
1413765bc4
15b8ca14e
hex7de5d70

132013424 has 40 divisors (see below), whose sum is σ = 262840320. Its totient is φ = 64209600.

The previous prime is 132013417. The next prime is 132013457. The reversal of 132013424 is 424310231.

It is a junction number, because it is equal to n+sod(n) for n = 132013396 and 132013405.

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 7 ways as a sum of consecutive naturals, for example, 89009 + ... + 90479.

It is an arithmetic number, because the mean of its divisors is an integer number (6571008).

Almost surely, 2132013424 is an apocalyptic number.

It is an amenable number.

132013424 is a deficient number, since it is larger than the sum of its proper divisors (130826896).

132013424 is a wasteful number, since it uses less digits than its factorization.

132013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132013424 is about 11489.7094828372. The cubic root of 132013424 is about 509.1815965376.

Adding to 132013424 its reverse (424310231), we get a palindrome (556323655).

The spelling of 132013424 in words is "one hundred thirty-two million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 71 79 142 158 284 316 568 632 1136 1264 1471 2942 5609 5884 11218 11768 22436 23536 44872 89744 104441 116209 208882 232418 417764 464836 835528 929672 1671056 1859344 8250839 16501678 33003356 66006712 132013424