Search a number
-
+
12036364240 = 2451091380317
BaseRepresentation
bin10110011010110110…
…00101011111010000
31011001211112122201011
423031123011133100
5144122302123430
65310205020304
7604162256635
oct131533053720
934054478634
1012036364240
11511723966a
1223bab54694
13119a857524
148227a618c
154a6a5522a
hex2cd6c57d0

12036364240 has 40 divisors (see below), whose sum is σ = 28241306280. Its totient is φ = 4770372096.

The previous prime is 12036364231. The next prime is 12036364253. The reversal of 12036364240 is 4246363021.

It can be written as a sum of positive squares in 4 ways, for example, as 169312144 + 11867052096 = 13012^2 + 108936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681439 + ... + 698878.

It is an arithmetic number, because the mean of its divisors is an integer number (706032657).

Almost surely, 212036364240 is an apocalyptic number.

12036364240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12036364240 is an abundant number, since it is smaller than the sum of its proper divisors (16204942040).

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

12036364240 is a wasteful number, since it uses less digits than its factorization.

12036364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380439 (or 1380433 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 12036364240 in words is "twelve billion, thirty-six million, three hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 1380317 2760634 5521268 6901585 11042536 13803170 22085072 27606340 55212680 110425360 150454553 300909106 601818212 752272765 1203636424 1504545530 2407272848 3009091060 6018182120 12036364240