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132324132 = 22319896521
BaseRepresentation
bin1111110001100…
…01101100100100
3100012222202120210
413320301230210
5232333333012
621044055420
73164510433
oct770615444
9305882523
10132324132
116876a096
1238394570
1321550605
141380711a
15b93c23c
hex7e31b24

132324132 has 48 divisors (see below), whose sum is σ = 328708800. Its totient is φ = 41310720.

The previous prime is 132324119. The next prime is 132324163. The reversal of 132324132 is 231423231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132324099 and 132324108.

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, 17032 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (6848100).

Almost surely, 2132324132 is an apocalyptic number.

132324132 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 132324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354400).

132324132 is an abundant number, since it is smaller than the sum of its proper divisors (196384668).

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

132324132 is a wasteful number, since it uses less digits than its factorization.

132324132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 6634 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 132324132 is about 11503.2226788844. Note that the first 3 decimals coincide. The cubic root of 132324132 is about 509.5807550316.

Adding to 132324132 its reverse (231423231), we get a palindrome (363747363).

Subtracting 132324132 from its reverse (231423231), we obtain a palindrome (99099099).

The spelling of 132324132 in words is "one hundred thirty-two million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 534 1068 1691 3382 5073 6521 6764 10146 13042 19563 20292 26084 39126 78252 123899 247798 371697 495596 580369 743394 1160738 1486788 1741107 2321476 3482214 6964428 11027011 22054022 33081033 44108044 66162066 132324132