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132600 = 233521317
BaseRepresentation
bin100000010111111000
320201220010
4200113320
513220400
62501520
71061406
oct402770
9221803
10132600
1190696
12648a0
1348480
1436476
1529450
hex205f8

132600 has 96 divisors (see below), whose sum is σ = 468720. Its totient is φ = 30720.

The previous prime is 132589. The next prime is 132607. The reversal of 132600 is 6231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132600.

It is not an unprimeable number, because it can be changed into a prime (132607) by changing a digit.

132600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7792 + ... + 7808.

2132600 is an apocalyptic number.

132600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132600 is the 195-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

132600 is an abundant number, since it is smaller than the sum of its proper divisors (336120).

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

132600 is a wasteful number, since it uses less digits than its factorization.

132600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132600 is about 364.1428291207. The cubic root of 132600 is about 50.9934632145.

Adding to 132600 its reverse (6231), we get a palindrome (138831).

The spelling of 132600 in words is "one hundred thirty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 25 26 30 34 39 40 50 51 52 60 65 68 75 78 85 100 102 104 120 130 136 150 156 170 195 200 204 221 255 260 300 312 325 340 390 408 425 442 510 520 600 650 663 680 780 850 884 975 1020 1105 1275 1300 1326 1560 1700 1768 1950 2040 2210 2550 2600 2652 3315 3400 3900 4420 5100 5304 5525 6630 7800 8840 10200 11050 13260 16575 22100 26520 33150 44200 66300 132600