Search a number
-
+
81114012 = 2232736569
BaseRepresentation
bin1001101010110…
…11001110011100
312122122000111200
410311123032130
5131231122022
612014315500
72003313000
oct465331634
9178560450
1081114012
1141872181
12231b8b90
1313a60475
14aab6700
1571c3bac
hex4d5b39c

81114012 has 72 divisors (see below), whose sum is σ = 239148000. Its totient is φ = 23171904.

The previous prime is 81113993. The next prime is 81114013. The reversal of 81114012 is 21041118.

It is a super-2 number, since 2×811140122 = 13158965885472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81114013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9064 + ... + 15632.

It is an arithmetic number, because the mean of its divisors is an integer number (3321500).

Almost surely, 281114012 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 81114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119574000).

81114012 is an abundant number, since it is smaller than the sum of its proper divisors (158033988).

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

81114012 is a wasteful number, since it uses less digits than its factorization.

81114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 81114012 is about 9006.3317727030. The cubic root of 81114012 is about 432.8777805594.

The spelling of 81114012 in words is "eighty-one million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 6569 12348 13138 19707 26276 39414 45983 59121 78828 91966 118242 137949 183932 236484 275898 321881 413847 551796 643762 827694 965643 1287524 1655388 1931286 2253167 2896929 3862572 4506334 5793858 6759501 9012668 11587716 13519002 20278503 27038004 40557006 81114012