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132640 = 255829
BaseRepresentation
bin100000011000100000
320201221121
4200120200
513221030
62502024
71061464
oct403040
9221847
10132640
1190722
1264914
13484b1
14364a4
152947a
hex20620

132640 has 24 divisors (see below), whose sum is σ = 313740. Its totient is φ = 52992.

The previous prime is 132637. The next prime is 132647. The reversal of 132640 is 46231.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 144 = 364^2 + 12^2 .

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

It is not an unprimeable number, because it can be changed into a prime (132647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255 + ... + 574.

2132640 is an apocalyptic number.

132640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132640 is an abundant number, since it is smaller than the sum of its proper divisors (181100).

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

132640 is an equidigital number, since it uses as much as digits as its factorization.

132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132640 is about 364.1977484829. The cubic root of 132640 is about 50.9985902468.

Subtracting from 132640 its product of nonzero digits (144), we obtain a square (132496 = 3642).

Adding to 132640 its reverse (46231), we get a palindrome (178871).

The spelling of 132640 in words is "one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 829 1658 3316 4145 6632 8290 13264 16580 26528 33160 66320 132640