Search a number
-
+
12365632 = 261011913
BaseRepresentation
bin101111001010…
…111101000000
3212021020110101
4233022331000
511131200012
61121012144
7210051256
oct57127500
925236411
1012365632
116a86534
124184054
13273c556
1418dc5d6
151143d57
hexbcaf40

12365632 has 28 divisors (see below), whose sum is σ = 24793956. Its totient is φ = 6118400.

The previous prime is 12365627. The next prime is 12365663. The reversal of 12365632 is 23656321.

12365632 is digitally balanced in base 2, because in such base 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 11397376 + 968256 = 3376^2 + 984^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12365632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5508 + ... + 7420.

Almost surely, 212365632 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 12365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396978).

12365632 is an abundant number, since it is smaller than the sum of its proper divisors (12428324).

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

12365632 is a wasteful number, since it uses less digits than its factorization.

12365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2016 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 12365632 is about 3516.4800582401. The cubic root of 12365632 is about 231.2448694260.

The spelling of 12365632 in words is "twelve million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 1913 3232 3826 6464 7652 15304 30608 61216 122432 193213 386426 772852 1545704 3091408 6182816 12365632