Search a number
-
+
12150240 = 2535171489
BaseRepresentation
bin101110010110…
…010111100000
3211212021222220
4232112113200
511102301430
61112231040
7205163304
oct56262740
924767886
1012150240
116949723
12409b480
1326954bb
141883d04
151100110
hexb965e0

12150240 has 96 divisors (see below), whose sum is σ = 40551840. Its totient is φ = 3047424.

The previous prime is 12150239. The next prime is 12150247. The reversal of 12150240 is 4205121.

12150240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7416 + ... + 8904.

It is an arithmetic number, because the mean of its divisors is an integer number (422415).

Almost surely, 212150240 is an apocalyptic number.

12150240 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 12150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275920).

12150240 is an abundant number, since it is smaller than the sum of its proper divisors (28401600).

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

12150240 is a wasteful number, since it uses less digits than its factorization.

12150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12150240 is about 3485.7194379353. The cubic root of 12150240 is about 229.8943434057.

Adding to 12150240 its reverse (4205121), we get a palindrome (16355361).

The spelling of 12150240 in words is "twelve million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1489 1632 2040 2720 2978 4080 4467 5956 7445 8160 8934 11912 14890 17868 22335 23824 25313 29780 35736 44670 47648 50626 59560 71472 75939 89340 101252 119120 126565 142944 151878 178680 202504 238240 253130 303756 357360 379695 405008 506260 607512 714720 759390 810016 1012520 1215024 1518780 2025040 2430048 3037560 4050080 6075120 12150240