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9929680 = 245124121
BaseRepresentation
bin100101111000…
…001111010000
3200200110221221
4211320033100
510020222210
6552454424
7150254335
oct45701720
920613857
109929680
115672352
1233aa414
132098867
14146698c
15d121da
hex9783d0

9929680 has 20 divisors (see below), whose sum is σ = 23086692. Its totient is φ = 3971840.

The previous prime is 9929663. The next prime is 9929693. The reversal of 9929680 is 869299.

It can be written as a sum of positive squares in 2 ways, for example, as 4227136 + 5702544 = 2056^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 61981 + ... + 62140.

Almost surely, 29929680 is an apocalyptic number.

It is an amenable number.

9929680 is an abundant number, since it is smaller than the sum of its proper divisors (13157012).

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

9929680 is a wasteful number, since it uses less digits than its factorization.

9929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124134 (or 124128 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 9929680 is about 3151.1394764434. The cubic root of 9929680 is about 214.9372811469.

It can be divided in two parts, 9929 and 680, that added together give a square (10609 = 1032).

The spelling of 9929680 in words is "nine million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 124121 248242 496484 620605 992968 1241210 1985936 2482420 4964840 9929680