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6309901 = 136173109
BaseRepresentation
bin11000000100100000001101
3102212120120001
4120010200031
53103404101
6343124301
7104430133
oct30044015
912776501
106309901
11361a7a4
122143691
1313cc090
14ba3753
15849901
hex60480d

6309901 has 16 divisors (see below), whose sum is σ = 7065520. Its totient is φ = 5598720.

The previous prime is 6309887. The next prime is 6309911. The reversal of 6309901 is 1099036.

It is a happy number.

6309901 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is the 1026-th star number.

It can be written as a sum of positive squares in 8 ways, for example, as 792100 + 5517801 = 890^2 + 2349^2 .

It is a 5-Lehmer number, since φ(6309901) divides (6309901-1)5.

It is a cyclic number.

It is not a de Polignac number, because 6309901 - 29 = 6309389 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6309901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6309911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57835 + ... + 57943.

It is an arithmetic number, because the mean of its divisors is an integer number (441595).

It is a Poulet number, since it divides 26309900-1.

Almost surely, 26309901 is an apocalyptic number.

6309901 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6309901 is a deficient number, since it is larger than the sum of its proper divisors (755619).

6309901 is a wasteful number, since it uses less digits than its factorization.

6309901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 6309901 is about 2511.9516316999. The cubic root of 6309901 is about 184.7881773294.

The spelling of 6309901 in words is "six million, three hundred nine thousand, nine hundred one".

Divisors: 1 13 61 73 109 793 949 1417 4453 6649 7957 57889 86437 103441 485377 6309901