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132045885 = 325171011709
BaseRepresentation
bin1111101111011…
…01110000111101
3100012110121220100
413313231300331
5232300432020
621034111313
73162241266
oct767556075
9305417810
10132045885
116859a034
123827b539
1321483a7a
141377396d
15b8d4a90
hex7dedc3d

132045885 has 48 divisors (see below), whose sum is σ = 244885680. Its totient is φ = 65587200.

The previous prime is 132045863. The next prime is 132045899. The reversal of 132045885 is 588540231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5280804 + 126765081 = 2298^2 + 11259^2 .

It is not a de Polignac number, because 132045885 - 28 = 132045629 is a prime.

It is a super-2 number, since 2×1320458852 = 34872231490866450, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 76411 + ... + 78119.

It is an arithmetic number, because the mean of its divisors is an integer number (5101785).

Almost surely, 2132045885 is an apocalyptic number.

132045885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132045885 is a deficient number, since it is larger than the sum of its proper divisors (112839795).

132045885 is a wasteful number, since it uses less digits than its factorization.

132045885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 132045885 is about 11491.1220078807. The cubic root of 132045885 is about 509.2233276201.

The spelling of 132045885 in words is "one hundred thirty-two million, forty-five thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 101 153 255 303 505 765 909 1515 1709 1717 4545 5127 5151 8545 8585 15381 15453 25635 25755 29053 76905 77265 87159 145265 172609 261477 435795 517827 863045 1307385 1553481 2589135 2934353 7767405 8803059 14671765 26409177 44015295 132045885