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132404321 = 728997313
BaseRepresentation
bin1111110010001…
…01010001100001
3100020010211120202
413321011101201
5232343414241
621045514545
73165263300
oct771052141
9306124522
10132404321
1168814365
1238412a55
132157ac6a
1413828437
15b955d9b
hex7e45461

132404321 has 24 divisors (see below), whose sum is σ = 157860360. Its totient is φ = 110702592.

The previous prime is 132404287. The next prime is 132404329. The reversal of 132404321 is 123404231.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 129390625 = 1736^2 + 11375^2 .

It is not a de Polignac number, because 132404321 - 218 = 132142177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132404293 and 132404302.

It is not an unprimeable number, because it can be changed into a prime (132404329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422861 + ... + 423173.

It is an arithmetic number, because the mean of its divisors is an integer number (6577515).

Almost surely, 2132404321 is an apocalyptic number.

It is an amenable number.

132404321 is a deficient number, since it is larger than the sum of its proper divisors (25456039).

132404321 is an equidigital number, since it uses as much as digits as its factorization.

132404321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

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

The square root of 132404321 is about 11506.7076524956. The cubic root of 132404321 is about 509.6836702973.

Adding to 132404321 its reverse (123404231), we get a palindrome (255808552).

The spelling of 132404321 in words is "one hundred thirty-two million, four hundred four thousand, three hundred twenty-one".

Divisors: 1 7 49 89 97 313 623 679 2191 4361 4753 8633 15337 27857 30361 60431 194999 212527 423017 1364993 1487689 2702129 18914903 132404321