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9966642 = 237237301
BaseRepresentation
bin100110000001…
…010000110010
3200202100122220
4212001100302
510022413032
6553341510
7150500160
oct46012062
920670586
109966642
1156980a4
123407896
1320ac62a
141476230
15d1d12c
hex981432

9966642 has 16 divisors (see below), whose sum is σ = 22780992. Its totient is φ = 2847600.

The previous prime is 9966629. The next prime is 9966643. The reversal of 9966642 is 2466699.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 237301 = 9966642 / (9 + 9 + 6 + 6 + 6 + 4 + 2).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9966594 and 9966603.

It is not an unprimeable number, because it can be changed into a prime (9966643) 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, 118609 + ... + 118692.

It is an arithmetic number, because the mean of its divisors is an integer number (1423812).

Almost surely, 29966642 is an apocalyptic number.

9966642 is an abundant number, since it is smaller than the sum of its proper divisors (12814350).

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

9966642 is a wasteful number, since it uses less digits than its factorization.

9966642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237313.

The product of its digits is 139968, while the sum is 42.

The square root of 9966642 is about 3156.9988913524. The cubic root of 9966642 is about 215.2036433604.

The spelling of 9966642 in words is "nine million, nine hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 237301 474602 711903 1423806 1661107 3322214 4983321 9966642