Search a number
-
+
73163112 = 23311431643
BaseRepresentation
bin1000101110001…
…10000101101000
312002200001220220
410113012011220
5122212204422
611132050040
71545606351
oct427060550
9162601826
1073163112
1138331590
1220603920
13122084a9
149a06d28
156652e5c
hex45c6168

73163112 has 64 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 22084800.

The previous prime is 73163071. The next prime is 73163117. The reversal of 73163112 is 21136137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (73163117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113463 + ... + 114105.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 273163112 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 73163112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

73163112 is an abundant number, since it is smaller than the sum of its proper divisors (127146648).

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

73163112 is a wasteful number, since it uses less digits than its factorization.

73163112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 73163112 is about 8553.5438269760. The cubic root of 73163112 is about 418.2449667940.

Adding to 73163112 its reverse (21136137), we get a palindrome (94299249).

The spelling of 73163112 in words is "seventy-three million, one hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 431 643 862 1286 1293 1724 1929 2572 2586 3448 3858 4741 5144 5172 7073 7716 9482 10344 14146 14223 15432 18964 21219 28292 28446 37928 42438 56584 56892 84876 113784 169752 277133 554266 831399 1108532 1662798 2217064 3048463 3325596 6096926 6651192 9145389 12193852 18290778 24387704 36581556 73163112