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9966840 = 2335136389
BaseRepresentation
bin100110000001…
…010011111000
3200202100221020
4212001103320
510022414330
6553342440
7150500562
oct46012370
920670836
109966840
115698264
123407a20
1320ac750
141476332
15d1d210
hex9814f8

9966840 has 64 divisors (see below), whose sum is σ = 32205600. Its totient is φ = 2452992.

The previous prime is 9966829. The next prime is 9966857. The reversal of 9966840 is 486699.

It is a junction number, because it is equal to n+sod(n) for n = 9966792 and 9966801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 4754.

Almost surely, 29966840 is an apocalyptic number.

It is an amenable number.

9966840 is an abundant number, since it is smaller than the sum of its proper divisors (22238760).

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

9966840 is a wasteful number, since it uses less digits than its factorization.

9966840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9966840 is about 3157.0302500926. The cubic root of 9966840 is about 215.2050684489.

The spelling of 9966840 in words is "nine million, nine hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6389 12778 19167 25556 31945 38334 51112 63890 76668 83057 95835 127780 153336 166114 191670 249171 255560 332228 383340 415285 498342 664456 766680 830570 996684 1245855 1661140 1993368 2491710 3322280 4983420 9966840