Search a number
-
+
12132594 = 23217311279
BaseRepresentation
bin101110010010…
…000011110010
3211211101210100
4232102003302
511101220334
61112013230
7205060665
oct56220362
924741710
1012132594
116937441
124091216
13268a466
14187b6dc
1510e9c99
hexb920f2

12132594 has 48 divisors (see below), whose sum is σ = 28753920. Its totient is φ = 3680640.

The previous prime is 12132581. The next prime is 12132599. The reversal of 12132594 is 49523121.

It is not an unprimeable number, because it can be changed into a prime (12132599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8847 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (599040).

Almost surely, 212132594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376960).

12132594 is an abundant number, since it is smaller than the sum of its proper divisors (16621326).

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

12132594 is a wasteful number, since it uses less digits than its factorization.

12132594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12132594 is about 3483.1873334634. The cubic root of 12132594 is about 229.7829963309.

The spelling of 12132594 in words is "twelve million, one hundred thirty-two thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1279 1581 2558 3162 3837 4743 7674 9486 11511 21743 23022 39649 43486 65229 79298 118947 130458 195687 237894 356841 391374 674033 713682 1348066 2022099 4044198 6066297 12132594