Search a number
-
+
12324832 = 251324353
BaseRepresentation
bin101111000000…
…111111100000
3212012011111021
4233000333200
511123343312
61120055224
7206521312
oct57007740
925164437
1012324832
116a58913
124164514
132726b00
1418cb7b2
151136c07
hexbc0fe0

12324832 has 72 divisors (see below), whose sum is σ = 27392904. Its totient is φ = 5451264.

The previous prime is 12324827. The next prime is 12324839. The reversal of 12324832 is 23842321.

12324832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12324797 and 12324806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232518 + ... + 232570.

It is an arithmetic number, because the mean of its divisors is an integer number (380457).

Almost surely, 212324832 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 12324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696452).

12324832 is an abundant number, since it is smaller than the sum of its proper divisors (15068072).

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

12324832 is a wasteful number, since it uses less digits than its factorization.

12324832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 12324832 is about 3510.6740093606. The cubic root of 12324832 is about 230.9902608913.

The spelling of 12324832 in words is "twelve million, three hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 53 86 104 106 169 172 208 212 338 344 416 424 559 676 688 689 848 1118 1352 1376 1378 1696 2236 2279 2704 2756 4472 4558 5408 5512 7267 8944 8957 9116 11024 14534 17888 17914 18232 22048 29068 29627 35828 36464 58136 59254 71656 72928 116272 118508 143312 232544 237016 286624 385151 474032 770302 948064 1540604 3081208 6162416 12324832