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810698980 = 2257133114369
BaseRepresentation
bin110000010100100…
…100100011100100
32002111110202221011
4300110210203210
53130014331410
6212240032004
726042553610
oct6024444344
92074422834
10810698980
11386689163
121a7602604
13cbc5a950
1479952340
154b28c18a
hex305248e4

810698980 has 96 divisors (see below), whose sum is σ = 2163087360. Its totient is φ = 248279040.

The previous prime is 810698957. The next prime is 810698989. The reversal of 810698980 is 89896018.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (810698989) 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 31 ways as a sum of consecutive naturals, for example, 49236 + ... + 63604.

It is an arithmetic number, because the mean of its divisors is an integer number (22532160).

Almost surely, 2810698980 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 810698980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081543680).

810698980 is an abundant number, since it is smaller than the sum of its proper divisors (1352388380).

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

810698980 is a wasteful number, since it uses less digits than its factorization.

810698980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The square root of 810698980 is about 28472.7761203575. The cubic root of 810698980 is about 932.4378096799.

The spelling of 810698980 in words is "eight hundred ten million, six hundred ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2170 2821 4030 4340 5642 8060 11284 14105 14369 28210 28738 56420 57476 71845 100583 143690 186797 201166 287380 373594 402332 445439 502915 747188 890878 933985 1005830 1307579 1781756 1867970 2011660 2227195 2615158 3118073 3735940 4454390 5230316 5790707 6236146 6537895 8908780 11581414 12472292 13075790 15590365 23162828 26151580 28953535 31180730 40534949 57907070 62361460 81069898 115814140 162139796 202674745 405349490 810698980