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1306830837 = 31335419463
BaseRepresentation
bin100110111100100…
…1010011111110101
310101002000212220010
41031321022133311
510134022041322
6333401530433
744245610304
oct11571123765
93332025803
101306830837
11610743394
123057a3a19
1317a98a1b0
14c57bc43b
1579ade20c
hex4de4a7f5

1306830837 has 16 divisors (see below), whose sum is σ = 1877203328. Its totient is φ = 803891520.

The previous prime is 1306830829. The next prime is 1306830841. The reversal of 1306830837 is 7380386031.

It is not a de Polignac number, because 1306830837 - 23 = 1306830829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1306830795 and 1306830804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306830827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133368 + ... + 142830.

It is an arithmetic number, because the mean of its divisors is an integer number (117325208).

Almost surely, 21306830837 is an apocalyptic number.

It is an amenable number.

1306830837 is a deficient number, since it is larger than the sum of its proper divisors (570372491).

1306830837 is a wasteful number, since it uses less digits than its factorization.

1306830837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13020.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1306830837 is about 36150.1153110194. The cubic root of 1306830837 is about 1093.3011156871.

The spelling of 1306830837 in words is "one billion, three hundred six million, eight hundred thirty thousand, eight hundred thirty-seven".

Divisors: 1 3 13 39 3541 9463 10623 28389 46033 123019 138099 369057 33508483 100525449 435610279 1306830837