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1307385 = 325171709
BaseRepresentation
bin100111111001011111001
32110102101200
410333023321
5313314020
644004413
714053422
oct4771371
92412350
101307385
11813292
12530709
1336a101
14260649
151ac590
hex13f2f9

1307385 has 24 divisors (see below), whose sum is σ = 2400840. Its totient is φ = 655872.

The previous prime is 1307353. The next prime is 1307393. The reversal of 1307385 is 5837031.

It can be written as a sum of positive squares in 4 ways, for example, as 114921 + 1192464 = 339^2 + 1092^2 .

It is not a de Polignac number, because 1307385 - 25 = 1307353 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

21307385 is an apocalyptic number.

1307385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307385 is a deficient number, since it is larger than the sum of its proper divisors (1093455).

1307385 is a wasteful number, since it uses less digits than its factorization.

1307385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1307385 is about 1143.4093755082. The cubic root of 1307385 is about 109.3455632347.

The spelling of 1307385 in words is "one million, three hundred seven thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1709 5127 8545 15381 25635 29053 76905 87159 145265 261477 435795 1307385