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12006774 = 2321323947
BaseRepresentation
bin101101110011…
…010101110110
3211121000012100
4231303111312
511033204044
61105202530
7204025113
oct55632566
924530170
1012006774
11686095a
124030446
132645100
14184790a
1510c2869
hexb73576

12006774 has 36 divisors (see below), whose sum is σ = 28176876. Its totient is φ = 3693456.

The previous prime is 12006773. The next prime is 12006781. The reversal of 12006774 is 47760021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006773) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1069 + ... + 5015.

It is an arithmetic number, because the mean of its divisors is an integer number (782691).

Almost surely, 212006774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088438).

12006774 is an abundant number, since it is smaller than the sum of its proper divisors (16170102).

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

12006774 is a wasteful number, since it uses less digits than its factorization.

12006774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12006774 is about 3465.0792198736. The cubic root of 12006774 is about 228.9859198198.

Adding to 12006774 its reverse (47760021), we get a palindrome (59766795).

The spelling of 12006774 in words is "twelve million, six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 3947 7894 11841 23682 35523 51311 71046 102622 153933 307866 461799 667043 923598 1334086 2001129 4002258 6003387 12006774