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132721641 = 32132694217
BaseRepresentation
bin1111110100100…
…10101111101001
3100020201221212100
413322102233221
5232434043031
621100404013
73201054363
oct772225751
9306657770
10132721641
1168a10808
1238546609
132165c520
14138abd33
15b9b9de6
hex7e92be9

132721641 has 24 divisors (see below), whose sum is σ = 207272520. Its totient is φ = 81351936.

The previous prime is 132721619. The next prime is 132721651. The reversal of 132721641 is 146127231.

132721641 is a `hidden beast` number, since 13 + 2 + 7 + 2 + 1 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 129481641 = 1800^2 + 11379^2 .

It is not a de Polignac number, because 132721641 - 29 = 132721129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132721651) 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 23 ways as a sum of consecutive naturals, for example, 29365 + ... + 33581.

It is an arithmetic number, because the mean of its divisors is an integer number (8636355).

Almost surely, 2132721641 is an apocalyptic number.

It is an amenable number.

132721641 is a deficient number, since it is larger than the sum of its proper divisors (74550879).

132721641 is a wasteful number, since it uses less digits than its factorization.

132721641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4502 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 132721641 is about 11520.4878802940. The cubic root of 132721641 is about 510.0905144998.

Adding to 132721641 its reverse (146127231), we get a palindrome (278848872).

The spelling of 132721641 in words is "one hundred thirty-two million, seven hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 117 269 807 2421 3497 4217 10491 12651 31473 37953 54821 164463 493389 1134373 3403119 10209357 14746849 44240547 132721641