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132204 = 22323479
BaseRepresentation
bin100000010001101100
320201100110
4200101230
513212304
62500020
71060302
oct402154
9221313
10132204
1190366
1264610
1348237
1436272
1529289
hex2046c

132204 has 24 divisors (see below), whose sum is σ = 322560. Its totient is φ = 42064.

The previous prime is 132199. The next prime is 132229. The reversal of 132204 is 402231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 132204.

It is a congruent number.

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, 37 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2132204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

132204 is an abundant number, since it is smaller than the sum of its proper divisors (190356).

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

132204 is a wasteful number, since it uses less digits than its factorization.

132204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132204 is about 363.5986798656. The cubic root of 132204 is about 50.9426498739.

Adding to 132204 its reverse (402231), we get a palindrome (534435).

The spelling of 132204 in words is "one hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 479 958 1437 1916 2874 5748 11017 22034 33051 44068 66102 132204