Search a number
-
+
12036240 = 2432573229
BaseRepresentation
bin101101111010…
…100010010000
3211122111121200
4231322202100
511040124430
61105551200
7204210036
oct55724220
924574550
1012036240
116881007
124045500
132655648
141854556
1510cb460
hexb7a890

12036240 has 120 divisors (see below), whose sum is σ = 41154360. Its totient is φ = 3151872.

The previous prime is 12036239. The next prime is 12036257. The reversal of 12036240 is 4263021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 8020224 = 2004^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 52446 + ... + 52674.

It is an arithmetic number, because the mean of its divisors is an integer number (342953).

Almost surely, 212036240 is an apocalyptic number.

12036240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20577180).

12036240 is an abundant number, since it is smaller than the sum of its proper divisors (29118120).

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

12036240 is a wasteful number, since it uses less digits than its factorization.

12036240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12036240 is about 3469.3284652797. The cubic root of 12036240 is about 229.1730860277.

Adding to 12036240 its reverse (4263021), we get a palindrome (16299261).

The spelling of 12036240 in words is "twelve million, thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 229 240 292 360 365 438 458 584 657 687 720 730 876 916 1095 1145 1168 1314 1374 1460 1752 1832 2061 2190 2290 2628 2748 2920 3285 3435 3504 3664 4122 4380 4580 5256 5496 5840 6570 6870 8244 8760 9160 10305 10512 10992 13140 13740 16488 16717 17520 18320 20610 26280 27480 32976 33434 41220 50151 52560 54960 66868 82440 83585 100302 133736 150453 164880 167170 200604 250755 267472 300906 334340 401208 501510 601812 668680 752265 802416 1003020 1203624 1337360 1504530 2006040 2407248 3009060 4012080 6018120 12036240