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132432 = 2433189
BaseRepresentation
bin100000010101010000
320201122220
4200111100
513214212
62501040
71061046
oct402520
9221586
10132432
1190553
1264780
1348381
1436396
152938c
hex20550

132432 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 42240.

The previous prime is 132421. The next prime is 132437. The reversal of 132432 is 234231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1444 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2132432 is an apocalyptic number.

132432 is a gapful number since it is divisible by the number (12) 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 132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

132432 is an abundant number, since it is smaller than the sum of its proper divisors (224688).

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

132432 is a wasteful number, since it uses less digits than its factorization.

132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 132432 is about 363.9120772934. The cubic root of 132432 is about 50.9719184122.

Adding to 132432 its reverse (234231), we get a palindrome (366663).

The spelling of 132432 in words is "one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 89 93 124 178 186 248 267 356 372 496 534 712 744 1068 1424 1488 2136 2759 4272 5518 8277 11036 16554 22072 33108 44144 66216 132432