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132240 = 24351929
BaseRepresentation
bin100000010010010000
320201101210
4200102100
513212430
62500120
71060353
oct402220
9221353
10132240
1190399
1264640
1348264
143629a
15292b0
hex20490

132240 has 80 divisors (see below), whose sum is σ = 446400. Its totient is φ = 32256.

The previous prime is 132233. The next prime is 132241. The reversal of 132240 is 42231.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (132241) by changing a digit.

132240 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 15 ways as a sum of consecutive naturals, for example, 4546 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2132240 is an apocalyptic number.

132240 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 132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

132240 is an abundant number, since it is smaller than the sum of its proper divisors (314160).

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

132240 is a wasteful number, since it uses less digits than its factorization.

132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132240 is about 363.6481816261. The cubic root of 132240 is about 50.9472734580.

Adding to 132240 its reverse (42231), we get a palindrome (174471).

Subtracting from 132240 its reverse (42231), we obtain a palindrome (90009).

The spelling of 132240 in words is "one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 38 40 48 57 58 60 76 80 87 95 114 116 120 145 152 174 190 228 232 240 285 290 304 348 380 435 456 464 551 570 580 696 760 870 912 1102 1140 1160 1392 1520 1653 1740 2204 2280 2320 2755 3306 3480 4408 4560 5510 6612 6960 8265 8816 11020 13224 16530 22040 26448 33060 44080 66120 132240