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132540405 = 3543673067
BaseRepresentation
bin1111110011001…
…10011111110101
3100020101202020220
413321212133311
5232412243110
621052444553
73166401114
oct771463765
9306352226
10132540405
11688a7628
1238479759
13215c7b9a
1413861c7b
15b981370
hex7e667f5

132540405 has 32 divisors (see below), whose sum is σ = 220306944. Its totient is φ = 67991616.

The previous prime is 132540379. The next prime is 132540427. The reversal of 132540405 is 504045231.

It is not a de Polignac number, because 132540405 - 27 = 132540277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41682 + ... + 44748.

It is an arithmetic number, because the mean of its divisors is an integer number (6884592).

Almost surely, 2132540405 is an apocalyptic number.

132540405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132540405 is a deficient number, since it is larger than the sum of its proper divisors (87766539).

132540405 is a wasteful number, since it uses less digits than its factorization.

132540405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 132540405 is about 11512.6193804885. The cubic root of 132540405 is about 509.8582266440.

Adding to 132540405 its reverse (504045231), we get a palindrome (636585636).

The spelling of 132540405 in words is "one hundred thirty-two million, five hundred forty thousand, four hundred five".

Divisors: 1 3 5 15 43 67 129 201 215 335 645 1005 2881 3067 8643 9201 14405 15335 43215 46005 131881 205489 395643 616467 659405 1027445 1978215 3082335 8836027 26508081 44180135 132540405