Search a number
-
+
8095200680 = 2357732111877
BaseRepresentation
bin1111000101000001…
…01111010110101000
3202220011112210200102
413202200233112220
5113034332410210
63415140124532
7404415033110
oct74240572650
922804483612
108095200680
1134845910a6
12169b096748
139c0196298
1456b1aa040
15325a52ea5
hex1e282f5a8

8095200680 has 128 divisors (see below), whose sum is σ = 21212686080. Its totient is φ = 2723051520.

The previous prime is 8095200661. The next prime is 8095200691. The reversal of 8095200680 is 860025908.

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, 4311902 + ... + 4313778.

It is an arithmetic number, because the mean of its divisors is an integer number (165724110).

Almost surely, 28095200680 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 8095200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606343040).

8095200680 is an abundant number, since it is smaller than the sum of its proper divisors (13117485400).

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

8095200680 is a wasteful number, since it uses less digits than its factorization.

8095200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 8095200680 is about 89973.3331604426. Note that the first 3 decimals coincide. The cubic root of 8095200680 is about 2007.9021270741.

The spelling of 8095200680 in words is "eight billion, ninety-five million, two hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 211 280 292 365 422 511 584 730 844 1022 1055 1460 1477 1688 1877 2044 2110 2555 2920 2954 3754 4088 4220 5110 5908 7385 7508 8440 9385 10220 11816 13139 14770 15016 15403 18770 20440 26278 29540 30806 37540 52556 59080 61612 65695 75080 77015 105112 107821 123224 131390 137021 154030 215642 262780 274042 308060 396047 431284 525560 539105 548084 616120 685105 792094 862568 959147 1078210 1096168 1370210 1584188 1918294 1980235 2156420 2740420 2772329 3168376 3836588 3960470 4312840 4795735 5480840 5544658 7673176 7920940 9591470 11089316 13861645 15841880 19182940 22178632 27723290 28911431 38365880 55446580 57822862 110893160 115645724 144557155 202380017 231291448 289114310 404760034 578228620 809520068 1011900085 1156457240 1619040136 2023800170 4047600340 8095200680