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86209734 = 23131139781
BaseRepresentation
bin1010010001101…
…11010011000110
320000012220112010
411020313103012
5134032202414
612315435050
72064525222
oct510672306
9200186463
1086209734
1144732716
1224a55a86
1314b259a0
14b641782
15787d959
hex52374c6

86209734 has 32 divisors (see below), whose sum is σ = 187344864. Its totient is φ = 26288640.

The previous prime is 86209733. The next prime is 86209763. The reversal of 86209734 is 43790268.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 86209692 and 86209701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86209733) 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 15 ways as a sum of consecutive naturals, for example, 3924 + ... + 13704.

It is an arithmetic number, because the mean of its divisors is an integer number (5854527).

Almost surely, 286209734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86209734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93672432).

86209734 is an abundant number, since it is smaller than the sum of its proper divisors (101135130).

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

86209734 is a wasteful number, since it uses less digits than its factorization.

86209734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 86209734 is about 9284.9197088612. The cubic root of 86209734 is about 441.7590293287.

The spelling of 86209734 in words is "eighty-six million, two hundred nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 9781 19562 29343 58686 127153 254306 381459 762918 1105253 2210506 3315759 6631518 14368289 28736578 43104867 86209734