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132324036 = 223131914441
BaseRepresentation
bin1111110001100…
…01101011000100
3100012222202110020
413320301223010
5232333332121
621044055140
73164510235
oct770615304
9305882406
10132324036
116876a009
12383944b0
1321550560
141380708c
15b93c1c6
hex7e31ac4

132324036 has 48 divisors (see below), whose sum is σ = 334322688. Its totient is φ = 40492800.

The previous prime is 132323993. The next prime is 132324047. The reversal of 132324036 is 630423231.

It is a junction number, because it is equal to n+sod(n) for n = 132323997 and 132324015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27576 + ... + 32016.

It is an arithmetic number, because the mean of its divisors is an integer number (6965056).

Almost surely, 2132324036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132324036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167161344).

132324036 is an abundant number, since it is smaller than the sum of its proper divisors (201998652).

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

132324036 is a wasteful number, since it uses less digits than its factorization.

132324036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 132324036 is about 11503.2185061399. The cubic root of 132324036 is about 509.5806317995.

Adding to 132324036 its reverse (630423231), we get a palindrome (762747267).

The spelling of 132324036 in words is "one hundred thirty-two million, three hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 573 764 1146 2292 2483 4441 4966 7449 8882 9932 13323 14898 17764 26646 29796 53292 57733 115466 173199 230932 346398 692796 848231 1696462 2544693 3392924 5089386 10178772 11027003 22054006 33081009 44108012 66162018 132324036