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8260810321 = 9729372
BaseRepresentation
bin1111011000110000…
…11111011001010001
3210022201011122101211
413230120133121101
5113404231412241
63443413500121
7411465505051
oct75430373121
923281148354
108260810321
11355a015075
121726641641
13a1859c15a
14585199561
15335367781
hex1ec61f651

8260810321 has 9 divisors (see below), whose sum is σ = 8355768849. Its totient is φ = 8166921984.

The previous prime is 8260810273. The next prime is 8260810417. The reversal of 8260810321 is 1230180628.

The square root of 8260810321 is 90889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2671752721 + 5589057600 = 51689^2 + 74760^2 .

It is not a de Polignac number, because 8260810321 - 211 = 8260808273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8260810021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8815765 + ... + 8816701.

It is an arithmetic number, because the mean of its divisors is an integer number (928418761).

Almost surely, 28260810321 is an apocalyptic number.

8260810321 is the 90889-th square number.

8260810321 is the 45445-th centered octagonal number.

It is an amenable number.

8260810321 is a deficient number, since it is larger than the sum of its proper divisors (94958528).

8260810321 is an frugal number, since it uses more digits than its factorization.

8260810321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 8260810321 is about 2021.5021928173.

Adding to 8260810321 its reverse (1230180628), we get a palindrome (9490990949).

It can be divided in two parts, 82608 and 10321, that added together give a palindrome (92929).

The spelling of 8260810321 in words is "eight billion, two hundred sixty million, eight hundred ten thousand, three hundred twenty-one".

Divisors: 1 97 937 9409 90889 877969 8816233 85162993 8260810321