Search a number
-
+
813104010 = 23259034489
BaseRepresentation
bin110000011101101…
…111101110001010
32002122222222000100
4300131233232022
53131123312020
6212403350230
726102161425
oct6035575612
92078888010
10813104010
11387a81094
121a8382376
13cc5c0544
1479dba9bc
154b5b4a90
hex3076fb8a

813104010 has 24 divisors (see below), whose sum is σ = 2114070660. Its totient is φ = 216827712.

The previous prime is 813104009. The next prime is 813104011. The reversal of 813104010 is 10401318.

It is an interprime number because it is at equal distance from previous prime (813104009) and next prime (813104011).

It can be written as a sum of positive squares in 2 ways, for example, as 806616801 + 6487209 = 28401^2 + 2547^2 .

It is a super-2 number, since 2×8131040102 = 1322276262156160200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (813104011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4517155 + ... + 4517334.

Almost surely, 2813104010 is an apocalyptic number.

813104010 is an abundant number, since it is smaller than the sum of its proper divisors (1300966650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813104010 is a wasteful number, since it uses less digits than its factorization.

813104010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034502 (or 9034499 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 813104010 is about 28514.9786954155. The cubic root of 813104010 is about 933.3589600390.

Adding to 813104010 its reverse (10401318), we get a palindrome (823505328).

The spelling of 813104010 in words is "eight hundred thirteen million, one hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 9034489 18068978 27103467 45172445 54206934 81310401 90344890 135517335 162620802 271034670 406552005 813104010