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813408260 = 225756910211
BaseRepresentation
bin110000011110111…
…010000000000100
32002200120102100212
4300132322000010
53131213031020
6212414054552
726104566440
oct6036720004
92080512325
10813408260
11388169735
121a84aa458
13cc698b82
147a059820
154b624cc5
hex307ba004

813408260 has 48 divisors (see below), whose sum is σ = 1955802240. Its totient is φ = 278365440.

The previous prime is 813408257. The next prime is 813408263. The reversal of 813408260 is 62804318.

It is an interprime number because it is at equal distance from previous prime (813408257) and next prime (813408263).

It is not an unprimeable number, because it can be changed into a prime (813408263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74555 + ... + 84765.

It is an arithmetic number, because the mean of its divisors is an integer number (40745880).

Almost surely, 2813408260 is an apocalyptic number.

It is an amenable number.

813408260 is an abundant number, since it is smaller than the sum of its proper divisors (1142393980).

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

813408260 is a wasteful number, since it uses less digits than its factorization.

813408260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 813408260 is about 28520.3131118857. The cubic root of 813408260 is about 933.4753613226.

The spelling of 813408260 in words is "eight hundred thirteen million, four hundred eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 569 1138 2276 2845 3983 5690 7966 10211 11380 15932 19915 20422 39830 40844 51055 71477 79660 102110 142954 204220 285908 357385 714770 1429540 5810059 11620118 23240236 29050295 40670413 58100590 81340826 116201180 162681652 203352065 406704130 813408260