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132054045 = 35171094751
BaseRepresentation
bin1111101111011…
…11110000011101
3100012111001002120
413313233300131
5232301212140
621034213153
73162304134
oct767576035
9305431076
10132054045
11685a5182
12382841b9
13214876b6
141377691b
15b8d71d0
hex7defc1d

132054045 has 32 divisors (see below), whose sum is σ = 225815040. Its totient is φ = 65664000.

The previous prime is 132054037. The next prime is 132054049. The reversal of 132054045 is 540450231.

It is not a de Polignac number, because 132054045 - 23 = 132054037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132054049) by changing a digit.

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, 25420 + ... + 30170.

It is an arithmetic number, because the mean of its divisors is an integer number (7056720).

Almost surely, 2132054045 is an apocalyptic number.

132054045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132054045 is a deficient number, since it is larger than the sum of its proper divisors (93760995).

132054045 is a wasteful number, since it uses less digits than its factorization.

132054045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885.

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

The square root of 132054045 is about 11491.4770591078. The cubic root of 132054045 is about 509.2338168445.

The spelling of 132054045 in words is "one hundred thirty-two million, fifty-four thousand, forty-five".

Divisors: 1 3 5 15 17 51 85 109 255 327 545 1635 1853 4751 5559 9265 14253 23755 27795 71265 80767 242301 403835 517859 1211505 1553577 2589295 7767885 8803603 26410809 44018015 132054045