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1301085 = 32529997
BaseRepresentation
bin100111101101001011101
32110002202100
410331221131
5313113320
643515313
714026152
oct4755135
92402670
101301085
11809585
12528b39
13367296
1425c229
151aa790
hex13da5d

1301085 has 24 divisors (see below), whose sum is σ = 2335320. Its totient is φ = 669312.

The previous prime is 1301081. The next prime is 1301099. The reversal of 1301085 is 5801031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 962361 = 582^2 + 981^2 .

It is not a de Polignac number, because 1301085 - 22 = 1301081 is a prime.

1301085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 807 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (97305).

21301085 is an apocalyptic number.

1301085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1301085 is a deficient number, since it is larger than the sum of its proper divisors (1034235).

1301085 is a wasteful number, since it uses less digits than its factorization.

1301085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1301085 is about 1140.6511298377. The cubic root of 1301085 is about 109.1696429725.

The spelling of 1301085 in words is "one million, three hundred one thousand, eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 997 1305 2991 4985 8973 14955 28913 44865 86739 144565 260217 433695 1301085