Search a number
-
+
12067146 = 23271353139
BaseRepresentation
bin101110000010…
…000101001010
3211201002000100
4232002011022
511042122041
61110350230
7204366120
oct56020512
924632010
1012067146
1168a2253
12405b376
132666730
141861910
1510d56b6
hexb8214a

12067146 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3100032.

The previous prime is 12067129. The next prime is 12067163. The reversal of 12067146 is 64176021.

It is an interprime number because it is at equal distance from previous prime (12067129) and next prime (12067163).

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, 86745 + ... + 86883.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 212067146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12067146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12067146 is an abundant number, since it is smaller than the sum of its proper divisors (20954934).

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

12067146 is a wasteful number, since it uses less digits than its factorization.

12067146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12067146 is about 3473.7797857665. The cubic root of 12067146 is about 229.3690710899.

The spelling of 12067146 in words is "twelve million, sixty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 117 126 139 159 182 234 273 278 318 371 417 477 546 689 742 819 834 954 973 1113 1251 1378 1638 1807 1946 2067 2226 2502 2919 3339 3614 4134 4823 5421 5838 6201 6678 7367 8757 9646 10842 12402 12649 14469 14734 16263 17514 22101 25298 28938 32526 37947 43407 44202 51569 66303 75894 86814 95771 103138 113841 132606 154707 191542 227682 287313 309414 464121 574626 670397 861939 928242 1340794 1723878 2011191 4022382 6033573 12067146