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BaseRepresentation
bin100101110101…
…000010010000
3200122210222000
4211311002100
510014312220
6552314000
7150201153
oct45650220
920583860
109916560
115663505
1233a2900
1320928b4
141461c9a
15d0d390
hex975090

9916560 has 80 divisors (see below), whose sum is σ = 34164480. Its totient is φ = 2643840.

The previous prime is 9916553. The next prime is 9916561. The reversal of 9916560 is 656199.

9916560 is a `hidden beast` number, since 9 + 91 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9916561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 29916560 is an apocalyptic number.

9916560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082240).

9916560 is an abundant number, since it is smaller than the sum of its proper divisors (24247920).

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

9916560 is a wasteful number, since it uses less digits than its factorization.

9916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9916560 is about 3149.0570017070. The cubic root of 9916560 is about 214.8425745016.

It can be divided in two parts, 99165 and 60, that added together give a square (99225 = 3152).

The spelling of 9916560 in words is "nine million, nine hundred sixteen thousand, five hundred sixty".