Search a number
-
+
86480136 = 2334317421
BaseRepresentation
bin1010010011110…
…01010100001000
320000201122110000
411021321110020
5134114331021
612325323000
72100032451
oct511712410
9200648400
1086480136
11448a7896
1224b66460
1314bbbaa2
14b6b2128
1578d3b26
hex5279508

86480136 has 80 divisors (see below), whose sum is σ = 243565740. Its totient is φ = 28667520.

The previous prime is 86480131. The next prime is 86480167. The reversal of 86480136 is 63108468.

It is a happy number.

86480136 is a `hidden beast` number, since 8 + 648 + 0 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56340036 + 30140100 = 7506^2 + 5490^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86480136.

It is not an unprimeable number, because it can be changed into a prime (86480131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205206 + ... + 205626.

Almost surely, 286480136 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 86480136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121782870).

86480136 is an abundant number, since it is smaller than the sum of its proper divisors (157085604).

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

86480136 is a wasteful number, since it uses less digits than its factorization.

86480136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86480136 is about 9299.4696622980. The cubic root of 86480136 is about 442.2204151711.

The spelling of 86480136 in words is "eighty-six million, four hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 317 324 421 634 648 842 951 1263 1268 1684 1902 2526 2536 2853 3368 3789 3804 5052 5706 7578 7608 8559 10104 11367 11412 15156 17118 22734 22824 25677 30312 34101 34236 45468 51354 68202 68472 90936 102708 133457 136404 205416 266914 272808 400371 533828 800742 1067656 1201113 1601484 2402226 3202968 3603339 4804452 7206678 9608904 10810017 14413356 21620034 28826712 43240068 86480136