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86708500 = 2253171012
BaseRepresentation
bin1010010101100…
…01000100010100
320001011020200221
411022301010110
5134144133000
612334244124
72102003314
oct512610424
9201136627
1086708500
1144a4341a
1225056644
1314c6ba08
14b731444
15792b61a
hex52b1114

86708500 has 72 divisors (see below), whose sum is σ = 202515768. Its totient is φ = 32320000.

The previous prime is 86708497. The next prime is 86708509. The reversal of 86708500 is 580768.

It can be written as a sum of positive squares in 12 ways, for example, as 5924356 + 80784144 = 2434^2 + 8988^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86708509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858450 + ... + 858550.

It is an arithmetic number, because the mean of its divisors is an integer number (2812719).

Almost surely, 286708500 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 86708500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101257884).

86708500 is an abundant number, since it is smaller than the sum of its proper divisors (115807268).

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

86708500 is a wasteful number, since it uses less digits than its factorization.

86708500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 86708500 is about 9311.7399018658. The cubic root of 86708500 is about 442.6093232179.

The spelling of 86708500 in words is "eighty-six million, seven hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 125 170 202 250 340 404 425 500 505 850 1010 1700 1717 2020 2125 2525 3434 4250 5050 6868 8500 8585 10100 10201 12625 17170 20402 25250 34340 40804 42925 50500 51005 85850 102010 171700 173417 204020 214625 255025 346834 429250 510050 693668 858500 867085 1020100 1275125 1734170 2550250 3468340 4335425 5100500 8670850 17341700 21677125 43354250 86708500