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104868585 = 3252330413
BaseRepresentation
bin1100100000000…
…10101011101001
321022022212122200
412100002223221
5203321243320
614223410413
72412240213
oct620025351
9238285580
10104868585
1154217358
122b153a09
1318959823
14dcdb5b3
159317290
hex6402ae9

104868585 has 12 divisors (see below), whose sum is σ = 181772292. Its totient is φ = 55929888.

The previous prime is 104868583. The next prime is 104868587. The reversal of 104868585 is 585868401.

104868585 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 68 + 585 = 666.

It is an interprime number because it is at equal distance from previous prime (104868583) and next prime (104868587).

It can be written as a sum of positive squares in 2 ways, for example, as 29387241 + 75481344 = 5421^2 + 8688^2 .

It is not a de Polignac number, because 104868585 - 21 = 104868583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2330413 = 104868585 / (1 + 0 + 4 + 8 + 6 + 8 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 104868585.

It is not an unprimeable number, because it can be changed into a prime (104868583) 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 11 ways as a sum of consecutive naturals, for example, 1165162 + ... + 1165251.

It is an arithmetic number, because the mean of its divisors is an integer number (15147691).

Almost surely, 2104868585 is an apocalyptic number.

104868585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104868585 is a deficient number, since it is larger than the sum of its proper divisors (76903707).

104868585 is a wasteful number, since it uses less digits than its factorization.

104868585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330424 (or 2330421 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 104868585 is about 10240.5363629060. The cubic root of 104868585 is about 471.5724981642.

The spelling of 104868585 in words is "one hundred four million, eight hundred sixty-eight thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 2330413 6991239 11652065 20973717 34956195 104868585