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9906984 = 2332137597
BaseRepresentation
bin100101110010…
…101100101000
3200122022211100
4211302230220
510014010414
6552201400
7150131223
oct45625450
920568740
109906984
11565729a
123399260
13208b429
14145c5ba
15d0a609
hex972b28

9906984 has 24 divisors (see below), whose sum is σ = 26831610. Its totient is φ = 3302304.

The previous prime is 9906983. The next prime is 9906991. The reversal of 9906984 is 4896099.

It can be written as a sum of positive squares in only one way, i.e., 8538084 + 1368900 = 2922^2 + 1170^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (9906983) 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 5 ways as a sum of consecutive naturals, for example, 68727 + ... + 68870.

Almost surely, 29906984 is an apocalyptic number.

It is an amenable number.

9906984 is an abundant number, since it is smaller than the sum of its proper divisors (16924626).

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

9906984 is a wasteful number, since it uses less digits than its factorization.

9906984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137609 (or 137602 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9906984 is about 3147.5361792996. The cubic root of 9906984 is about 214.7733974524.

The spelling of 9906984 in words is "nine million, nine hundred six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137597 275194 412791 550388 825582 1100776 1238373 1651164 2476746 3302328 4953492 9906984