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1307813 = 13293469
BaseRepresentation
bin100111111010010100101
32110102222112
410333102211
5313322223
644010405
714054603
oct4772245
92412875
101307813
11813641
12530a05
1336a370
14260873
151ac778
hex13f4a5

1307813 has 8 divisors (see below), whose sum is σ = 1457400. Its totient is φ = 1165248.

The previous prime is 1307809. The next prime is 1307821. The reversal of 1307813 is 3187031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 1295044 = 113^2 + 1138^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1307813 - 22 = 1307809 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1358 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (182175).

21307813 is an apocalyptic number.

1307813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1307813 is a deficient number, since it is larger than the sum of its proper divisors (149587).

1307813 is a wasteful number, since it uses less digits than its factorization.

1307813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1307813 is about 1143.5965197569. The cubic root of 1307813 is about 109.3574941234.

The spelling of 1307813 in words is "one million, three hundred seven thousand, eight hundred thirteen".

Divisors: 1 13 29 377 3469 45097 100601 1307813