Search a number
-
+
12386484 = 223211311009
BaseRepresentation
bin101111010000…
…000010110100
3212022022001200
4233100002310
511132331414
61121252500
7210166125
oct57200264
925268050
1012386484
116aa0170
124194130
132748ba6
14190604c
15114a109
hexbd00b4

12386484 has 72 divisors (see below), whose sum is σ = 35293440. Its totient is φ = 3628800.

The previous prime is 12386483. The next prime is 12386497. The reversal of 12386484 is 48468321.

12386484 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 648 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12386483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11772 + ... + 12780.

Almost surely, 212386484 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 12386484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646720).

12386484 is an abundant number, since it is smaller than the sum of its proper divisors (22906956).

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

12386484 is a wasteful number, since it uses less digits than its factorization.

12386484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1056 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 12386484 is about 3519.4437060422. The cubic root of 12386484 is about 231.3747781433.

The spelling of 12386484 in words is "twelve million, three hundred eighty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1009 1023 1116 1364 2018 2046 3027 3069 4036 4092 6054 6138 9081 11099 12108 12276 18162 22198 31279 33297 36324 44396 62558 66594 93837 99891 125116 133188 187674 199782 281511 344069 375348 399564 563022 688138 1032207 1126044 1376276 2064414 3096621 4128828 6193242 12386484