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810514300 = 2252107211359
BaseRepresentation
bin110000010011110…
…111011101111100
32002111010101121011
4300103313131330
53124442424200
6212232045004
726041154311
oct6023673574
92074111534
10810514300
11386572432
121a7533764
13cbbc487b
1479904d08
154b2525ba
hex304f777c

810514300 has 72 divisors (see below), whose sum is σ = 1788635520. Its totient is φ = 318763200.

The previous prime is 810514297. The next prime is 810514379. The reversal of 810514300 is 3415018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2257521 + ... + 2257879.

It is an arithmetic number, because the mean of its divisors is an integer number (24842160).

Almost surely, 2810514300 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 810514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894317760).

810514300 is an abundant number, since it is smaller than the sum of its proper divisors (978121220).

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

810514300 is a wasteful number, since it uses less digits than its factorization.

810514300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 810514300 is about 28469.5328377548. The cubic root of 810514300 is about 932.3670001289.

Adding to 810514300 its reverse (3415018), we get a palindrome (813929318).

The spelling of 810514300 in words is "eight hundred ten million, five hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 211 214 359 422 428 535 718 844 1055 1070 1436 1795 2110 2140 2675 3590 4220 5275 5350 7180 8975 10550 10700 17950 21100 22577 35900 38413 45154 75749 76826 90308 112885 151498 153652 192065 225770 302996 378745 384130 451540 564425 757490 768260 960325 1128850 1514980 1893725 1920650 2257700 3787450 3841300 7574900 8105143 16210286 32420572 40525715 81051430 162102860 202628575 405257150 810514300