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132300 = 22335272
BaseRepresentation
bin100000010011001100
320201111000
4200103030
513213200
62500300
71060500
oct402314
9221430
10132300
1190443
1264690
13482ac
1436300
1529300
hex204cc

132300 has 108 divisors (see below), whose sum is σ = 494760. Its totient is φ = 30240.

The previous prime is 132299. The next prime is 132313. The reversal of 132300 is 3231.

Adding to 132300 its reverse (3231), we get a palindrome (135531).

132300 = 262 + 272 + ... + 742.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18897 + ... + 18903.

2132300 is an apocalyptic number.

132300 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 132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380).

132300 is an abundant number, since it is smaller than the sum of its proper divisors (362460).

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

132300 is a wasteful number, since it uses less digits than its factorization.

132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 132300 is about 363.7306695895. The cubic root of 132300 is about 50.9549775673.

The spelling of 132300 in words is "one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 49 50 54 60 63 70 75 84 90 98 100 105 108 126 135 140 147 150 175 180 189 196 210 225 245 252 270 294 300 315 350 378 420 441 450 490 525 540 588 630 675 700 735 756 882 900 945 980 1050 1225 1260 1323 1350 1470 1575 1764 1890 2100 2205 2450 2646 2700 2940 3150 3675 3780 4410 4725 4900 5292 6300 6615 7350 8820 9450 11025 13230 14700 18900 22050 26460 33075 44100 66150 132300