Search a number
-
+
12522006 = 2337157211
BaseRepresentation
bin101111110001…
…001000010110
3212120011222000
4233301020112
511201201011
61124220130
7211302210
oct57611026
925504860
1012522006
117082a72
12423a646
132795793
14193d5b0
151175356
hexbf1216

12522006 has 64 divisors (see below), whose sum is σ = 32156160. Its totient is φ = 3538080.

The previous prime is 12521989. The next prime is 12522011. The reversal of 12522006 is 60022521.

12522006 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12522006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59241 + ... + 59451.

It is an arithmetic number, because the mean of its divisors is an integer number (502440).

Almost surely, 212522006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12522006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078080).

12522006 is an abundant number, since it is smaller than the sum of its proper divisors (19634154).

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

12522006 is a wasteful number, since it uses less digits than its factorization.

12522006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12522006 is about 3538.6446557969. The cubic root of 12522006 is about 232.2155522437.

Adding to 12522006 its reverse (60022521), we get a palindrome (72544527).

The spelling of 12522006 in words is "twelve million, five hundred twenty-two thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 211 314 378 422 471 633 942 1099 1266 1413 1477 1899 2198 2826 2954 3297 3798 4239 4431 5697 6594 8478 8862 9891 11394 13293 19782 26586 29673 33127 39879 59346 66254 79758 99381 198762 231889 298143 463778 596286 695667 894429 1391334 1788858 2087001 4174002 6261003 12522006