Search a number
-
+
23084712 = 23327163281
BaseRepresentation
bin101100000001…
…1111010101000
31121102211021100
41120003322220
521402202322
62142441400
7400134240
oct130037250
947384240
1023084712
1112037982
127893260
134a234c1
1430ccb20
15205edac
hex1603ea8

23084712 has 96 divisors (see below), whose sum is σ = 72146880. Its totient is φ = 6531840.

The previous prime is 23084683. The next prime is 23084713. The reversal of 23084712 is 21748032.

It is not an unprimeable number, because it can be changed into a prime (23084713) 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 23 ways as a sum of consecutive naturals, for example, 82012 + ... + 82292.

It is an arithmetic number, because the mean of its divisors is an integer number (751530).

Almost surely, 223084712 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 23084712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36073440).

23084712 is an abundant number, since it is smaller than the sum of its proper divisors (49062168).

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

23084712 is a wasteful number, since it uses less digits than its factorization.

23084712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23084712 is about 4804.6552425746. The cubic root of 23084712 is about 284.7354146461.

The spelling of 23084712 in words is "twenty-three million, eighty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 281 326 489 504 562 652 843 978 1124 1141 1304 1467 1686 1956 1967 2248 2282 2529 2934 3372 3423 3912 3934 4564 5058 5868 5901 6744 6846 7868 9128 10116 10269 11736 11802 13692 15736 17703 20232 20538 23604 27384 35406 41076 45803 47208 70812 82152 91606 137409 141624 183212 274818 320621 366424 412227 549636 641242 824454 961863 1099272 1282484 1648908 1923726 2564968 2885589 3297816 3847452 5771178 7694904 11542356 23084712