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132573 = 3759107
BaseRepresentation
bin100000010111011101
320201212010
4200113131
513220243
62501433
71061340
oct402735
9221763
10132573
1190671
1264879
134845c
1436457
1529433
hex205dd

132573 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 73776.

The previous prime is 132547. The next prime is 132589. The reversal of 132573 is 375231.

It is a happy number.

132573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132573 - 25 = 132541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

132573 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2132573 is an apocalyptic number.

It is an amenable number.

132573 is a deficient number, since it is larger than the sum of its proper divisors (74787).

132573 is a wasteful number, since it uses less digits than its factorization.

132573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its digits is 630, while the sum is 21.

The square root of 132573 is about 364.1057538683. The cubic root of 132573 is about 50.9900018848.

The spelling of 132573 in words is "one hundred thirty-two thousand, five hundred seventy-three".

Divisors: 1 3 7 21 59 107 177 321 413 749 1239 2247 6313 18939 44191 132573