Search a number
-
+
813008700 = 2232527129049
BaseRepresentation
bin110000011101011…
…000011100111100
32002122211010021100
4300131120130330
53131112234300
6212401333100
726101313520
oct6035303474
92078733240
10813008700
11387a16519
121a8337190
13cc58904a
1479d93d80
154b596700
hex3075873c

813008700 has 108 divisors (see below), whose sum is σ = 2912400400. Its totient is φ = 185829120.

The previous prime is 813008699. The next prime is 813008719. The reversal of 813008700 is 7800318.

813008700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58225 + ... + 70824.

Almost surely, 2813008700 is an apocalyptic number.

It is an amenable number.

813008700 is an abundant number, since it is smaller than the sum of its proper divisors (2099391700).

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

813008700 is a wasteful number, since it uses less digits than its factorization.

813008700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129076 (or 129066 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 813008700 is about 28513.3074195190. The cubic root of 813008700 is about 933.3224899534.

It can be divided in two parts, 81300 and 8700, that added together give a square (90000 = 3002).

The spelling of 813008700 in words is "eight hundred thirteen million, eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 129049 258098 387147 516196 645245 774294 903343 1161441 1290490 1548588 1806686 1935735 2322882 2580980 2710029 3226225 3613372 3871470 4516715 4645764 5420058 5807205 6452450 7742940 8130087 9033430 9678675 10840116 11614410 12904900 13550145 16260174 18066860 19357350 22583575 23228820 27100290 29036025 32520348 38714700 40650435 45167150 54200580 58072050 67750725 81300870 90334300 116144100 135501450 162601740 203252175 271002900 406504350 813008700