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9966440 = 2351122651
BaseRepresentation
bin100110000001…
…001101101000
3200202100101102
4212001031220
510022411230
6553340532
7150466451
oct46011550
920670342
109966440
115697a30
123407748
1320ac503
141476128
15d1d045
hex981368

9966440 has 32 divisors (see below), whose sum is σ = 24464160. Its totient is φ = 3624000.

The previous prime is 9966433. The next prime is 9966449. The reversal of 9966440 is 446699.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9966394 and 9966403.

It is not an unprimeable number, because it can be changed into a prime (9966449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10886 + ... + 11765.

It is an arithmetic number, because the mean of its divisors is an integer number (764505).

Almost surely, 29966440 is an apocalyptic number.

It is an amenable number.

9966440 is an abundant number, since it is smaller than the sum of its proper divisors (14497720).

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

9966440 is a wasteful number, since it uses less digits than its factorization.

9966440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22673 (or 22669 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9966440 is about 3156.9668987812. The cubic root of 9966440 is about 215.2021894629.

The spelling of 9966440 in words is "nine million, nine hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 22651 45302 90604 113255 181208 226510 249161 453020 498322 906040 996644 1245805 1993288 2491610 4983220 9966440