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9805940 = 22517151191
BaseRepresentation
bin100101011010…
…000001110100
3200110012012222
4211122001310
510002242230
6550101512
7146230514
oct45320164
920405188
109805940
115598391
12334a898
132054441
141433844
15cda6e5
hex95a074

9805940 has 48 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 3648000.

The previous prime is 9805927. The next prime is 9805963. The reversal of 9805940 is 495089.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9805940.

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, 51245 + ... + 51435.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 29805940 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 9805940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

9805940 is an abundant number, since it is smaller than the sum of its proper divisors (12257164).

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

9805940 is a wasteful number, since it uses less digits than its factorization.

9805940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 9805940 is about 3131.4437564804. The cubic root of 9805940 is about 214.0407236093.

The spelling of 9805940 in words is "nine million, eight hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 151 170 191 302 340 382 604 755 764 955 1510 1910 2567 3020 3247 3820 5134 6494 10268 12835 12988 16235 25670 28841 32470 51340 57682 64940 115364 144205 288410 490297 576820 980594 1961188 2451485 4902970 9805940