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132633 = 3214737
BaseRepresentation
bin100000011000011001
320201221100
4200120121
513221013
62502013
71061454
oct403031
9221840
10132633
1190716
1264909
13484a7
143649b
1529473
hex20619

132633 has 6 divisors (see below), whose sum is σ = 191594. Its totient is φ = 88416.

The previous prime is 132631. The next prime is 132637. The reversal of 132633 is 336231.

It is a happy number.

132633 is a `hidden beast` number, since 1 + 32 + 633 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 5184 = 357^2 + 72^2 .

It is not a de Polignac number, because 132633 - 21 = 132631 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7360 + ... + 7377.

2132633 is an apocalyptic number.

It is an amenable number.

132633 is a deficient number, since it is larger than the sum of its proper divisors (58961).

132633 is a wasteful number, since it uses less digits than its factorization.

132633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14743 (or 14740 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 132633 is about 364.1881381923. The cubic root of 132633 is about 50.9976930906.

Adding to 132633 its sum of digits (18), we get a cube (132651 = 513).

Adding to 132633 its reverse (336231), we get a palindrome (468864).

The spelling of 132633 in words is "one hundred thirty-two thousand, six hundred thirty-three".

Divisors: 1 3 9 14737 44211 132633