Search a number
-
+
8000965 = 572172113
BaseRepresentation
bin11110100001010111000101
3120001111021001
4132201113011
54022012330
6443253301
7125002300
oct36412705
916044231
108000965
114575275
12281a231
1318719cb
1410c3b37
15a809ca
hex7a15c5

8000965 has 36 divisors (see below), whose sum is σ = 11969316. Its totient is φ = 5117952.

The previous prime is 8000963. The next prime is 8000977. The reversal of 8000965 is 5690008.

8000965 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 82369 + 7918596 = 287^2 + 2814^2 .

It is not a de Polignac number, because 8000965 - 21 = 8000963 is a prime.

It is an Ulam number.

It is a Duffinian number.

8000965 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70749 + ... + 70861.

It is an arithmetic number, because the mean of its divisors is an integer number (332481).

Almost surely, 28000965 is an apocalyptic number.

8000965 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8000965 is a deficient number, since it is larger than the sum of its proper divisors (3968351).

8000965 is a wasteful number, since it uses less digits than its factorization.

8000965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 8000965 is about 2828.5977091131. The cubic root of 8000965 is about 200.0080413433.

The spelling of 8000965 in words is "eight million, nine hundred sixty-five", and thus it is an aban number.

Divisors: 1 5 7 17 35 49 85 113 119 245 289 565 595 791 833 1445 1921 2023 3955 4165 5537 9605 10115 13447 14161 27685 32657 67235 70805 94129 163285 228599 470645 1142995 1600193 8000965