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132216 = 2337787
BaseRepresentation
bin100000010001111000
320201100220
4200101320
513212331
62500040
71060320
oct402170
9221326
10132216
1190377
1264620
1348246
1436280
1529296
hex20478

132216 has 32 divisors (see below), whose sum is σ = 378240. Its totient is φ = 37728.

The previous prime is 132199. The next prime is 132229. The reversal of 132216 is 612231.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132195 and 132204.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (11820).

2132216 is an apocalyptic number.

It is an amenable number.

132216 is an abundant number, since it is smaller than the sum of its proper divisors (246024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132216 is a wasteful number, since it uses less digits than its factorization.

132216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 132216 is about 363.6151812012. The cubic root of 132216 is about 50.9441911619.

Adding to 132216 its sum of digits (15), we get a palindrome (132231).

Adding to 132216 its reverse (612231), we get a palindrome (744447).

The spelling of 132216 in words is "one hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 787 1574 2361 3148 4722 5509 6296 9444 11018 16527 18888 22036 33054 44072 66108 132216