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12418432 = 271317439
BaseRepresentation
bin101111010111…
…110110000000
3212100220212221
4233113312000
511134342212
61122100424
7210361225
oct57276600
925326787
1012418432
117012174
1241aa714
13275a5b0
14191394c
151154807
hexbd7d80

12418432 has 64 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 5382144.

The previous prime is 12418429. The next prime is 12418433. The reversal of 12418432 is 23481421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12418397 and 12418406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28069 + ... + 28507.

Almost surely, 212418432 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 12418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

12418432 is an abundant number, since it is smaller than the sum of its proper divisors (15855968).

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

12418432 is a wasteful number, since it uses less digits than its factorization.

12418432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 12418432 is about 3523.9795686127. The cubic root of 12418432 is about 231.5735328298.

Adding to 12418432 its reverse (23481421), we get a palindrome (35899853).

The spelling of 12418432 in words is "twelve million, four hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 439 442 544 832 878 884 1088 1664 1756 1768 2176 3512 3536 5707 7024 7072 7463 11414 14048 14144 14926 22828 28096 28288 29852 45656 56192 59704 91312 97019 119408 182624 194038 238816 365248 388076 477632 730496 776152 955264 1552304 3104608 6209216 12418432