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9946040 = 2351331617
BaseRepresentation
bin100101111100…
…001110111000
3200201022101212
4211330032320
510021233130
6553102252
7150353126
oct45741670
920638355
109946040
115683675
1233b7988
1320a3140
14146c916
15d16e95
hex97c3b8

9946040 has 64 divisors (see below), whose sum is σ = 24917760. Its totient is φ = 3548160.

The previous prime is 9946039. The next prime is 9946049. The reversal of 9946040 is 406499.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9945988 and 9946006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15812 + ... + 16428.

It is an arithmetic number, because the mean of its divisors is an integer number (389340).

Almost surely, 29946040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458880).

9946040 is an abundant number, since it is smaller than the sum of its proper divisors (14971720).

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

9946040 is a wasteful number, since it uses less digits than its factorization.

9946040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 9946040 is about 3153.7342944516. The cubic root of 9946040 is about 215.0552589168.

The spelling of 9946040 in words is "nine million, nine hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 617 620 806 1234 1240 1612 2015 2468 3085 3224 4030 4936 6170 8021 8060 12340 16042 16120 19127 24680 32084 38254 40105 64168 76508 80210 95635 153016 160420 191270 248651 320840 382540 497302 765080 994604 1243255 1989208 2486510 4973020 9946040