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104435985 = 35232631151
BaseRepresentation
bin1100011100110…
…01000100010001
321021111220020110
412032121010101
5203213422420
614210231533
72405456043
oct616310421
9237456213
10104435985
1153a51335
122ab855a9
1318837954
14dc27a93
15927dee0
hex6399111

104435985 has 32 divisors (see below), whose sum is σ = 175177728. Its totient is φ = 53028800.

The previous prime is 104435971. The next prime is 104435987. The reversal of 104435985 is 589534401.

It is not a de Polignac number, because 104435985 - 25 = 104435953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104435987) 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 31 ways as a sum of consecutive naturals, for example, 90160 + ... + 91310.

It is an arithmetic number, because the mean of its divisors is an integer number (5474304).

Almost surely, 2104435985 is an apocalyptic number.

104435985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104435985 is a deficient number, since it is larger than the sum of its proper divisors (70741743).

104435985 is a wasteful number, since it uses less digits than its factorization.

104435985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 104435985 is about 10219.3925944745. The cubic root of 104435985 is about 470.9231666810.

The spelling of 104435985 in words is "one hundred four million, four hundred thirty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 23 69 115 263 345 789 1151 1315 3453 3945 5755 6049 17265 18147 26473 30245 79419 90735 132365 302713 397095 908139 1513565 4540695 6962399 20887197 34811995 104435985