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132045 = 358803
BaseRepresentation
bin100000001111001101
320201010120
4200033031
513211140
62455153
71056654
oct401715
9221116
10132045
1190231
12644b9
1348144
143619b
15291d0
hex203cd

132045 has 8 divisors (see below), whose sum is σ = 211296. Its totient is φ = 70416.

The previous prime is 132019. The next prime is 132047. The reversal of 132045 is 540231.

132045 = T53 + T54 + ... + T97.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132045 - 213 = 123853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 8803 = 132045 / (1 + 3 + 2 + 0 + 4 + 5).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4387 + ... + 4416.

It is an arithmetic number, because the mean of its divisors is an integer number (26412).

2132045 is an apocalyptic number.

132045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132045 is a deficient number, since it is larger than the sum of its proper divisors (79251).

132045 is an equidigital number, since it uses as much as digits as its factorization.

132045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 132045 is about 363.3799664263. The cubic root of 132045 is about 50.9222189976.

Adding to 132045 its reverse (540231), we get a palindrome (672276).

The spelling of 132045 in words is "one hundred thirty-two thousand, forty-five".

Divisors: 1 3 5 15 8803 26409 44015 132045