Search a number
-
+
12132324 = 22322911621
BaseRepresentation
bin101110010001…
…111111100100
3211211101102100
4232101333210
511101213244
61112012100
7205060131
oct56217744
924741370
1012132324
116937216
124091030
13268a2b9
14187b588
1510e9b69
hexb91fe4

12132324 has 36 divisors (see below), whose sum is σ = 31728060. Its totient is φ = 3904320.

The previous prime is 12132319. The next prime is 12132331. The reversal of 12132324 is 42323121.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 8892324 = 1800^2 + 2982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 12132297 and 12132306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4767 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (881335).

Almost surely, 212132324 is an apocalyptic number.

It is an amenable number.

12132324 is an abundant number, since it is smaller than the sum of its proper divisors (19595736).

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

12132324 is a wasteful number, since it uses less digits than its factorization.

12132324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11660 (or 11655 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12132324 is about 3483.1485756424. The cubic root of 12132324 is about 229.7812917801.

Adding to 12132324 its reverse (42323121), we get a palindrome (54455445).

The spelling of 12132324 in words is "twelve million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 11621 23242 34863 46484 69726 104589 139452 209178 337009 418356 674018 1011027 1348036 2022054 3033081 4044108 6066162 12132324