Search a number
-
+
9850720 = 2551129193
BaseRepresentation
bin100101100100…
…111101100000
3200112110122111
4211210331200
510010210340
6551045104
7146505205
oct45447540
920473574
109850720
115618aa0
123370794
13206b939
141445cac
15ce8aea
hex964f60

9850720 has 96 divisors (see below), whose sum is σ = 26399520. Its totient is φ = 3440640.

The previous prime is 9850703. The next prime is 9850723. The reversal of 9850720 is 270589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9850723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50944 + ... + 51136.

It is an arithmetic number, because the mean of its divisors is an integer number (274995).

Almost surely, 29850720 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 9850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199760).

9850720 is an abundant number, since it is smaller than the sum of its proper divisors (16548800).

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

9850720 is a wasteful number, since it uses less digits than its factorization.

9850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 9850720 is about 3138.5856687368. The cubic root of 9850720 is about 214.3660431111.

The spelling of 9850720 in words is "nine million, eight hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 193 220 232 290 319 352 386 440 464 580 638 772 880 928 965 1160 1276 1544 1595 1760 1930 2123 2320 2552 3088 3190 3860 4246 4640 5104 5597 6176 6380 7720 8492 10208 10615 11194 12760 15440 16984 21230 22388 25520 27985 30880 33968 42460 44776 51040 55970 61567 67936 84920 89552 111940 123134 169840 179104 223880 246268 307835 339680 447760 492536 615670 895520 985072 1231340 1970144 2462680 4925360 9850720