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12438036 = 2234132953
BaseRepresentation
bin101111011100…
…101000010100
3212101220210000
4233130220110
511141004121
61122331300
7210502332
oct57345024
925356700
1012438036
117025976
1241b9b30
1327664b0
14191ab52
15115a526
hexbdca14

12438036 has 60 divisors (see below), whose sum is σ = 35028532. Its totient is φ = 3825792.

The previous prime is 12437969. The next prime is 12438043. The reversal of 12438036 is 63083421.

It is a happy number.

12438036 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5904900 + 6533136 = 2430^2 + 2556^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2736 + ... + 5688.

Almost surely, 212438036 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 12438036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514266).

12438036 is an abundant number, since it is smaller than the sum of its proper divisors (22590496).

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

12438036 is a wasteful number, since it uses less digits than its factorization.

12438036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12438036 is about 3526.7599861629. The cubic root of 12438036 is about 231.6953243939.

The spelling of 12438036 in words is "twelve million, four hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2953 4212 5906 8859 11812 17718 26577 35436 38389 53154 76778 79731 106308 115167 153556 159462 230334 239193 318924 345501 460668 478386 691002 956772 1036503 1382004 2073006 3109509 4146012 6219018 12438036