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132542305 = 572540989
BaseRepresentation
bin1111110011001…
…10111101100001
3100020101211212021
413321212331201
5232412323210
621052501441
73166406500
oct771467541
9306354767
10132542305
11688a8aa5
123847a881
13215c89cc
1413862837
15b981bda
hex7e66f61

132542305 has 12 divisors (see below), whose sum is σ = 185018580. Its totient is φ = 90885984.

The previous prime is 132542273. The next prime is 132542323. The reversal of 132542305 is 503245231.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 81162081 = 7168^2 + 9009^2 .

It is not a de Polignac number, because 132542305 - 25 = 132542273 is a prime.

It is a super-2 number, since 2×1325423052 = 35134925229426050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132542305.

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 11 ways as a sum of consecutive naturals, for example, 270250 + ... + 270739.

It is an arithmetic number, because the mean of its divisors is an integer number (15418215).

Almost surely, 2132542305 is an apocalyptic number.

It is an amenable number.

132542305 is a deficient number, since it is larger than the sum of its proper divisors (52476275).

132542305 is an equidigital number, since it uses as much as digits as its factorization.

132542305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541008 (or 541001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 132542305 is about 11512.7018983382. The cubic root of 132542305 is about 509.8606629476.

Adding to 132542305 its reverse (503245231), we get a palindrome (635787536).

The spelling of 132542305 in words is "one hundred thirty-two million, five hundred forty-two thousand, three hundred five".

Divisors: 1 5 7 35 49 245 540989 2704945 3786923 18934615 26508461 132542305