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86365104 = 2437376947
BaseRepresentation
bin1010010010111…
…01001110110000
320000111210122120
411021131032300
5134102140404
612323034240
72066043210
oct511351660
9200453576
1086365104
1144829421
1224b0b980
1314b7b617
14b682240
1578ae9d9
hex525d3b0

86365104 has 80 divisors (see below), whose sum is σ = 261911808. Its totient is φ = 24005376.

The previous prime is 86365093. The next prime is 86365121. The reversal of 86365104 is 40156368.

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, 8959 + ... + 15905.

Almost surely, 286365104 is an apocalyptic number.

86365104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86365104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130955904).

86365104 is an abundant number, since it is smaller than the sum of its proper divisors (175546704).

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

86365104 is a wasteful number, since it uses less digits than its factorization.

86365104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 86365104 is about 9293.2827353955. The cubic root of 86365104 is about 442.0242542467.

The spelling of 86365104 in words is "eighty-six million, three hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 6947 12432 13894 20841 27788 41682 48629 55576 83364 97258 111152 145887 166728 194516 257039 291774 333456 389032 514078 583548 771117 778064 1028156 1167096 1542234 1799273 2056312 2334192 3084468 3598546 4112624 5397819 6168936 7197092 10795638 12337872 14394184 21591276 28788368 43182552 86365104