Search a number
-
+
12432024 = 23321121427
BaseRepresentation
bin101111011011…
…001010011000
3212101121112100
4233123022120
511140311044
61122243400
7210445653
oct57331230
925347470
1012432024
117021400
1241b6560
132763837
14191889a
151158869
hexbdb298

12432024 has 72 divisors (see below), whose sum is σ = 37035180. Its totient is φ = 3764640.

The previous prime is 12432011. The next prime is 12432053. The reversal of 12432024 is 42023421.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 12431988 and 12432006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7999 + ... + 9425.

Almost surely, 212432024 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 12432024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517590).

12432024 is an abundant number, since it is smaller than the sum of its proper divisors (24603156).

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

12432024 is a wasteful number, since it uses less digits than its factorization.

12432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12432024 is about 3525.9075427470. The cubic root of 12432024 is about 231.6579879318.

Adding to 12432024 its reverse (42023421), we get a palindrome (54455445).

The spelling of 12432024 in words is "twelve million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1427 1452 2178 2854 2904 4281 4356 5708 8562 8712 11416 12843 15697 17124 25686 31394 34248 47091 51372 62788 94182 102744 125576 141273 172667 188364 282546 345334 376728 518001 565092 690668 1036002 1130184 1381336 1554003 2072004 3108006 4144008 6216012 12432024