Search a number
-
+
12783616 = 2123121
BaseRepresentation
bin110000110001…
…000000000000
3220001110211021
4300301000000
511233033431
61133555224
7213442006
oct60610000
926043737
1012783616
11724157a
124345b14
132857891
1419aaa76
1511c7b11
hexc31000

12783616 has 26 divisors (see below), whose sum is σ = 25572302. Its totient is φ = 6389760.

The previous prime is 12783593. The next prime is 12783647. The reversal of 12783616 is 61638721.

It can be written as a sum of positive squares in only one way, i.e., 6553600 + 6230016 = 2560^2 + 2496^2 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2536 + ... + 5656.

Almost surely, 212783616 is an apocalyptic number.

12783616 is a gapful number since it is divisible by the number (16) 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 12783616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786151).

12783616 is an abundant number, since it is smaller than the sum of its proper divisors (12788686).

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

12783616 is an frugal number, since it uses more digits than its factorization.

12783616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3123 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 12783616 is about 3575.4182972066. The cubic root of 12783616 is about 233.8215699705.

The spelling of 12783616 in words is "twelve million, seven hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3121 4096 6242 12484 24968 49936 99872 199744 399488 798976 1597952 3195904 6391808 12783616