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9988065 = 325221957
BaseRepresentation
bin100110000110…
…011111100001
3200210110001100
4212012133201
510024104230
6554025013
7150616503
oct46063741
920713040
109988065
1157021aa
123418169
1320b92c9
14147dd73
15d24660
hex9867e1

9988065 has 12 divisors (see below), whose sum is σ = 17312724. Its totient is φ = 5326944.

The previous prime is 9988063. The next prime is 9988073. The reversal of 9988065 is 5608899.

9988065 is digitally balanced in base 2, 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 2 ways, for example, as 2954961 + 7033104 = 1719^2 + 2652^2 .

It is not a de Polignac number, because 9988065 - 21 = 9988063 is a prime.

It is a super-2 number, since 2×99880652 = 199522884888450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 221957 = 9988065 / (9 + 9 + 8 + 8 + 0 + 6 + 5).

9988065 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9988065.

It is not an unprimeable number, because it can be changed into a prime (9988063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110934 + ... + 111023.

It is an arithmetic number, because the mean of its divisors is an integer number (1442727).

Almost surely, 29988065 is an apocalyptic number.

It is an amenable number.

9988065 is a deficient number, since it is larger than the sum of its proper divisors (7324659).

9988065 is a wasteful number, since it uses less digits than its factorization.

9988065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221968 (or 221965 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9988065 is about 3160.3900075782. The cubic root of 9988065 is about 215.3577242886.

The spelling of 9988065 in words is "nine million, nine hundred eighty-eight thousand, sixty-five".

Divisors: 1 3 5 9 15 45 221957 665871 1109785 1997613 3329355 9988065