Search a number
-
+
86174060 = 2257679187
BaseRepresentation
bin1010010001011…
…10100101101100
320000011002120212
411020232211230
5134030032220
612315001552
72064316220
oct510564554
9200132525
1086174060
1144708935
1224a392b8
1314b1268b
14b632780
1578730c5
hex522e96c

86174060 has 48 divisors (see below), whose sum is σ = 209927424. Its totient is φ = 29101248.

The previous prime is 86174059. The next prime is 86174093. The reversal of 86174060 is 6047168.

It is a super-3 number, since 3×861740603 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4787 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (4373488).

Almost surely, 286174060 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 86174060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104963712).

86174060 is an abundant number, since it is smaller than the sum of its proper divisors (123753364).

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

86174060 is a wasteful number, since it uses less digits than its factorization.

86174060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 86174060 is about 9282.9984380048. The cubic root of 86174060 is about 441.6980869226.

The spelling of 86174060 in words is "eighty-six million, one hundred seventy-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9187 9380 18374 36748 45935 64309 91870 128618 183740 257236 321545 615529 643090 1231058 1286180 2462116 3077645 4308703 6155290 8617406 12310580 17234812 21543515 43087030 86174060