Search a number
-
+
12773232 = 2432107829
BaseRepresentation
bin110000101110…
…011101110000
3220000221120200
4300232131300
511232220412
61133435200
7213366513
oct60563560
926027520
1012773232
11723479a
12433bb00
132852c34
1419a6d7a
1511c49dc
hexc2e770

12773232 has 60 divisors (see below), whose sum is σ = 36124920. Its totient is φ = 4212864.

The previous prime is 12773231. The next prime is 12773249. The reversal of 12773232 is 23237721.

It is a happy number.

12773232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12773196 and 12773205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12773231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14994 + ... + 15822.

It is an arithmetic number, because the mean of its divisors is an integer number (602082).

Almost surely, 212773232 is an apocalyptic number.

12773232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12773232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18062460).

12773232 is an abundant number, since it is smaller than the sum of its proper divisors (23351688).

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

12773232 is a wasteful number, since it uses less digits than its factorization.

12773232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 12773232 is about 3573.9658644145. The cubic root of 12773232 is about 233.7582425339.

The spelling of 12773232 in words is "twelve million, seven hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 829 856 963 1284 1658 1712 1926 2487 2568 3316 3852 4974 5136 6632 7461 7704 9948 13264 14922 15408 19896 29844 39792 59688 88703 119376 177406 266109 354812 532218 709624 798327 1064436 1419248 1596654 2128872 3193308 4257744 6386616 12773232