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9966096 = 243279887
BaseRepresentation
bin100110000001…
…001000010000
3200202022220200
4212001020100
510022403341
6553335200
7150465450
oct46011020
920668820
109966096
115697748
123407500
1320ac2ca
141475d60
15d1cdb6
hex981210

9966096 has 60 divisors (see below), whose sum is σ = 31878912. Its totient is φ = 2847168.

The previous prime is 9966091. The next prime is 9966113. The reversal of 9966096 is 6906699.

It is not an unprimeable number, because it can be changed into a prime (9966091) 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, 3936 + ... + 5951.

Almost surely, 29966096 is an apocalyptic number.

It is an amenable number.

9966096 is an abundant number, since it is smaller than the sum of its proper divisors (21912816).

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

9966096 is a wasteful number, since it uses less digits than its factorization.

9966096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9966096 is about 3156.9124156365. The cubic root of 9966096 is about 215.1997134733.

The spelling of 9966096 in words is "nine million, nine hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 9887 19774 29661 39548 59322 69209 79096 88983 118644 138418 158192 177966 207627 237288 276836 355932 415254 474576 553672 622881 711864 830508 1107344 1245762 1423728 1661016 2491524 3322032 4983048 9966096