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132160 = 265759
BaseRepresentation
bin100000010001000000
320201021211
4200101000
513212120
62455504
71060210
oct402100
9221254
10132160
1190326
1264594
1348202
1436240
152925a
hex20440

132160 has 56 divisors (see below), whose sum is σ = 365760. Its totient is φ = 44544.

The previous prime is 132157. The next prime is 132169. The reversal of 132160 is 61231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 132160.

It is not an unprimeable number, because it can be changed into a prime (132169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2211 + ... + 2269.

2132160 is an apocalyptic number.

132160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880).

132160 is an abundant number, since it is smaller than the sum of its proper divisors (233600).

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

132160 is an equidigital number, since it uses as much as digits as its factorization.

132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132160 is about 363.5381685601. The cubic root of 132160 is about 50.9369976866.

Adding to 132160 its reverse (61231), we get a palindrome (193391).

It can be divided in two parts, 132 and 160, that added together give a palindrome (292).

The spelling of 132160 in words is "one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 236 280 295 320 413 448 472 560 590 826 944 1120 1180 1652 1888 2065 2240 2360 3304 3776 4130 4720 6608 8260 9440 13216 16520 18880 26432 33040 66080 132160