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3001985 = 57212253
BaseRepresentation
bin1011011100111010000001
312122111221122
423130322001
51232030420
6144202025
734342100
oct13347201
95574848
103001985
111770488
121009315
1381152c
14582037
153e4725
hex2dce81

3001985 has 12 divisors (see below), whose sum is σ = 4190868. Its totient is φ = 2058336.

The previous prime is 3001963. The next prime is 3001991. The reversal of 3001985 is 5891003.

3001985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1270129 + 1731856 = 1127^2 + 1316^2 .

It is not a de Polignac number, because 3001985 - 210 = 3000961 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 5882 + ... + 6371.

It is an arithmetic number, because the mean of its divisors is an integer number (349239).

Almost surely, 23001985 is an apocalyptic number.

3001985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3001985 is a deficient number, since it is larger than the sum of its proper divisors (1188883).

3001985 is a wasteful number, since it uses less digits than its factorization.

3001985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12265 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 3001985 is about 1732.6237329553. The cubic root of 3001985 is about 144.2567596331.

Adding to 3001985 its reverse (5891003), we get a palindrome (8892988).

The spelling of 3001985 in words is "three million, one thousand, nine hundred eighty-five".

Divisors: 1 5 7 35 49 245 12253 61265 85771 428855 600397 3001985