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813010716 = 223372346757
BaseRepresentation
bin110000011101011…
…000111100011100
32002122211020001000
4300131120330130
53131112320331
6212401350300
726101322430
oct6035307434
92078736030
10813010716
11387a17a91
121a8338390
13cc589c3b
1479d949c0
154b5970e6
hex30758f1c

813010716 has 96 divisors (see below), whose sum is σ = 2513710080. Its totient is φ = 222184512.

The previous prime is 813010699. The next prime is 813010733. The reversal of 813010716 is 617010318.

813010716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813010699) and next prime (813010733).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 813010716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5991 + ... + 40766.

It is an arithmetic number, because the mean of its divisors is an integer number (26184480).

Almost surely, 2813010716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813010716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256855040).

813010716 is an abundant number, since it is smaller than the sum of its proper divisors (1700699364).

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

813010716 is a wasteful number, since it uses less digits than its factorization.

813010716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46800 (or 46792 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 813010716 is about 28513.3427714114. The cubic root of 813010716 is about 933.3232613992.

The spelling of 813010716 in words is "eight hundred thirteen million, ten thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 46757 93514 140271 187028 280542 327299 420813 561084 654598 841626 981897 1075411 1262439 1309196 1683252 1963794 2150822 2524878 2945691 3226233 3927588 4301644 5049756 5891382 6452466 7527877 8837073 9678699 11782764 12904932 15055754 17674146 19357398 22583631 29036097 30111508 35348292 38714796 45167262 58072194 67750893 90334524 116144388 135501786 203252679 271003572 406505358 813010716