Search a number
-
+
86719116 = 223111971487
BaseRepresentation
bin1010010101100…
…11101010001100
320001011210021010
411022303222030
5134200002431
612334405220
72102046261
oct512635214
9201153233
1086719116
1144a503a0
1225060810
1314c737b3
14b735268
15792e846
hex52b3a8c

86719116 has 96 divisors (see below), whose sum is σ = 236113920. Its totient is φ = 24494400.

The previous prime is 86719111. The next prime is 86719123. The reversal of 86719116 is 61191768.

86719116 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (86719111) 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 31 ways as a sum of consecutive naturals, for example, 177825 + ... + 178311.

It is an arithmetic number, because the mean of its divisors is an integer number (2459520).

Almost surely, 286719116 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 86719116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118056960).

86719116 is an abundant number, since it is smaller than the sum of its proper divisors (149394804).

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

86719116 is a wasteful number, since it uses less digits than its factorization.

86719116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 593 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 86719116 is about 9312.3099175231. The cubic root of 86719116 is about 442.6273858408.

The spelling of 86719116 in words is "eighty-six million, seven hundred nineteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 71 76 114 132 142 209 213 228 284 418 426 487 627 781 836 852 974 1254 1349 1461 1562 1948 2343 2508 2698 2922 3124 4047 4686 5357 5396 5844 8094 9253 9372 10714 14839 16071 16188 18506 21428 27759 29678 32142 34577 37012 44517 55518 59356 64284 69154 89034 101783 103731 111036 138308 178068 203566 207462 305349 380347 407132 414924 610698 656963 760694 1141041 1221396 1313926 1521388 1970889 2282082 2627852 3941778 4564164 7226593 7883556 14453186 21679779 28906372 43359558 86719116