Search a number
-
+
8236116 = 2232732329
BaseRepresentation
bin11111011010110001010100
3120111102211100
4133122301110
54102023431
6452310100
7130002000
oct37326124
916442740
108236116
114715a09
122912330
131924a55
141145700
15aca4e6
hex7dac54

8236116 has 144 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 2173248.

The previous prime is 8236103. The next prime is 8236117. The reversal of 8236116 is 6116328.

8236116 = T24 + T25 + ... + T366.

8236116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1728) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8236116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8236117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283990 + ... + 284018.

It is an arithmetic number, because the mean of its divisors is an integer number (182000).

Almost surely, 28236116 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 8236116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

8236116 is an abundant number, since it is smaller than the sum of its proper divisors (17971884).

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

8236116 is a wasteful number, since it uses less digits than its factorization.

8236116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8236116 is about 2869.8634113839. The cubic root of 8236116 is about 201.9485867258.

The spelling of 8236116 in words is "eight million, two hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 49 58 63 69 84 87 92 98 116 126 138 147 161 174 196 203 207 252 261 276 294 322 343 348 406 414 441 483 522 588 609 644 667 686 812 828 882 966 1029 1044 1127 1218 1334 1372 1421 1449 1764 1827 1932 2001 2058 2254 2436 2668 2842 2898 3087 3381 3654 4002 4116 4263 4508 4669 5684 5796 6003 6174 6762 7308 7889 8004 8526 9338 9947 10143 12006 12348 12789 13524 14007 15778 17052 18676 19894 20286 23667 24012 25578 28014 29841 31556 32683 39788 40572 42021 47334 51156 56028 59682 65366 71001 84042 89523 94668 98049 119364 130732 142002 168084 179046 196098 228781 284004 294147 358092 392196 457562 588294 686343 915124 1176588 1372686 2059029 2745372 4118058 8236116