Search a number
-
+
12277144 = 231131153
BaseRepresentation
bin101110110101…
…010110011000
3212002202002001
4232311112120
511120332034
61115050344
7206232265
oct56652630
925082061
1012277144
116a26000
1241409b4
13270b1a9
1418b826c
151127a14
hexbb5598

12277144 has 32 divisors (see below), whose sum is σ = 25341840. Its totient is φ = 5575680.

The previous prime is 12277129. The next prime is 12277151. The reversal of 12277144 is 44177221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10072 + ... + 11224.

Almost surely, 212277144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12277144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670920).

12277144 is an abundant number, since it is smaller than the sum of its proper divisors (13064696).

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

12277144 is a wasteful number, since it uses less digits than its factorization.

12277144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1166 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 12277144 is about 3503.8755685669. The cubic root of 12277144 is about 230.6919552318.

It can be divided in two parts, 12277 and 144, that added together give a palindrome (12421).

The spelling of 12277144 in words is "twelve million, two hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1153 1331 2306 2662 4612 5324 9224 10648 12683 25366 50732 101464 139513 279026 558052 1116104 1534643 3069286 6138572 12277144