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12006150 = 23521347131
BaseRepresentation
bin101101110011…
…001100000110
3211120222100020
4231303030012
511033144100
61105200010
7204023232
oct55631406
924528306
1012006150
116860442
124030006
132644a40
1418475c2
1510c25a0
hexb73306

12006150 has 96 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2870400.

The previous prime is 12006133. The next prime is 12006179. The reversal of 12006150 is 5160021.

12006150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91585 + ... + 91715.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 212006150 is an apocalyptic number.

12006150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

12006150 is an abundant number, since it is smaller than the sum of its proper divisors (20991738).

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

12006150 is a wasteful number, since it uses less digits than its factorization.

12006150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12006150 is about 3464.9891774723. The cubic root of 12006150 is about 228.9819529010.

Adding to 12006150 its reverse (5160021), we get a palindrome (17166171).

The spelling of 12006150 in words is "twelve million, six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 47 50 65 75 78 94 130 131 141 150 195 235 262 282 325 390 393 470 611 650 655 705 786 975 1175 1222 1310 1410 1703 1833 1950 1965 2350 3055 3275 3406 3525 3666 3930 5109 6110 6157 6550 7050 8515 9165 9825 10218 12314 15275 17030 18330 18471 19650 25545 30550 30785 36942 42575 45825 51090 61570 80041 85150 91650 92355 127725 153925 160082 184710 240123 255450 307850 400205 461775 480246 800410 923550 1200615 2001025 2401230 4002050 6003075 12006150