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132496461 = 3241359069
BaseRepresentation
bin1111110010110…
…11110001001101
3100020022111222100
413321123301031
5232404341321
621051505313
73166126026
oct771336115
9306274870
10132496461
1168877609
1238458239
13215b0b96
141384dc4d
15b973326
hex7e5bc4d

132496461 has 12 divisors (see below), whose sum is σ = 196052220. Its totient is φ = 86176320.

The previous prime is 132496457. The next prime is 132496493. The reversal of 132496461 is 164694231.

132496461 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 9 + 646 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2673225 + 129823236 = 1635^2 + 11394^2 .

It is not a de Polignac number, because 132496461 - 22 = 132496457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132496421) 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 11 ways as a sum of consecutive naturals, for example, 179166 + ... + 179903.

It is an arithmetic number, because the mean of its divisors is an integer number (16337685).

Almost surely, 2132496461 is an apocalyptic number.

It is an amenable number.

132496461 is a deficient number, since it is larger than the sum of its proper divisors (63555759).

132496461 is a wasteful number, since it uses less digits than its factorization.

132496461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359116 (or 359113 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 132496461 is about 11510.7107078581. The cubic root of 132496461 is about 509.8018722905.

The spelling of 132496461 in words is "one hundred thirty-two million, four hundred ninety-six thousand, four hundred sixty-one".

Divisors: 1 3 9 41 123 369 359069 1077207 3231621 14721829 44165487 132496461