Search a number
-
+
86794686 = 23311236353
BaseRepresentation
bin1010010110001…
…10000110111110
320001022121221000
411023012012332
5134204412221
612340151130
72102512506
oct513060676
9201277830
1086794686
1144aa2150
12250984a6
1314c9c004
14b754a06
157946e26
hex52c61be

86794686 has 64 divisors (see below), whose sum is σ = 219594240. Its totient is φ = 25153920.

The previous prime is 86794667. The next prime is 86794739. The reversal of 86794686 is 68649768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10486 + ... + 16838.

It is an arithmetic number, because the mean of its divisors is an integer number (3431160).

Almost surely, 286794686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86794686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109797120).

86794686 is an abundant number, since it is smaller than the sum of its proper divisors (132799554).

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

86794686 is a wasteful number, since it uses less digits than its factorization.

86794686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6392 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 86794686 is about 9316.3665664249. The cubic root of 86794686 is about 442.7559220525.

The spelling of 86794686 in words is "eighty-six million, seven hundred ninety-four thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6353 6831 12706 13662 19059 38118 57177 69883 114354 139766 146119 171531 209649 292238 343062 419298 438357 628947 876714 1257894 1315071 1607309 1886841 2630142 3214618 3773682 3945213 4821927 7890426 9643854 14465781 28931562 43397343 86794686