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132200 = 2352661
BaseRepresentation
bin100000010001101000
320201100022
4200101220
513212300
62500012
71060265
oct402150
9221308
10132200
1190362
1264608
1348233
143626c
1529285
hex20468

132200 has 24 divisors (see below), whose sum is σ = 307830. Its totient is φ = 52800.

The previous prime is 132199. The next prime is 132229. The reversal of 132200 is 2231.

It can be written as a sum of positive squares in 3 ways, for example, as 114244 + 17956 = 338^2 + 134^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 530.

2132200 is an apocalyptic number.

132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132200 is an abundant number, since it is smaller than the sum of its proper divisors (175630).

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

132200 is a wasteful number, since it uses less digits than its factorization.

132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 132200 is about 363.5931792540. The cubic root of 132200 is about 50.9421360905.

Adding to 132200 its reverse (2231), we get a palindrome (134431).

The spelling of 132200 in words is "one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 661 1322 2644 3305 5288 6610 13220 16525 26440 33050 66100 132200