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132352 = 281147
BaseRepresentation
bin100000010100000000
320201112221
4200110000
513213402
62500424
71060603
oct402400
9221487
10132352
1190490
1264714
134831c
143633a
1529337
hex20500

132352 has 36 divisors (see below), whose sum is σ = 294336. Its totient is φ = 58880.

The previous prime is 132347. The next prime is 132361. The reversal of 132352 is 253231.

It is a Harshad number since it is a multiple of its sum of digits (16).

Its product of digits (180) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

132352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2793 + ... + 2839.

It is an arithmetic number, because the mean of its divisors is an integer number (8176).

2132352 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 132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168).

132352 is an abundant number, since it is smaller than the sum of its proper divisors (161984).

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

132352 is an equidigital number, since it uses as much as digits as its factorization.

132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 132352 is about 363.8021440289. The cubic root of 132352 is about 50.9616525780.

Adding to 132352 its reverse (253231), we get a palindrome (385583).

It can be divided in two parts, 132 and 352, that multiplied together give a palindrome (46464).

The spelling of 132352 in words is "one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 517 704 752 1034 1408 1504 2068 2816 3008 4136 6016 8272 12032 16544 33088 66176 132352