Search a number
-
+
9983606700 = 22352294326687
BaseRepresentation
bin10010100110001000…
…11011111110101100
3221202202220202202010
421103010123332230
5130421300403300
64330355201220
7502255154034
oct112304337654
927682822663
109983606700
114263538531
121b275a6210
13c3149a8b2
146a9cd68c4
153d6720a50
hex25311bfac

9983606700 has 144 divisors (see below), whose sum is σ = 30578042880. Its totient is φ = 2510618880.

The previous prime is 9983606693. The next prime is 9983606701. The reversal of 9983606700 is 76063899.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9983606700.

It is not an unprimeable number, because it can be changed into a prime (9983606701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360757 + ... + 387443.

It is an arithmetic number, because the mean of its divisors is an integer number (212347520).

Almost surely, 29983606700 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 9983606700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289021440).

9983606700 is an abundant number, since it is smaller than the sum of its proper divisors (20594436180).

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

9983606700 is a wasteful number, since it uses less digits than its factorization.

9983606700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26776 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 9983606700 is about 99917.9998799015. Note that the first 3 decimals coincide. The cubic root of 9983606700 is about 2153.2567696570.

The spelling of 9983606700 in words is "nine billion, nine hundred eighty-three million, six hundred six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 43 50 58 60 75 86 87 100 116 129 145 150 172 174 215 258 290 300 348 430 435 516 580 645 725 860 870 1075 1247 1290 1450 1740 2150 2175 2494 2580 2900 3225 3741 4300 4350 4988 6235 6450 7482 8700 12470 12900 14964 18705 24940 26687 31175 37410 53374 62350 74820 80061 93525 106748 124700 133435 160122 187050 266870 320244 374100 400305 533740 667175 773923 800610 1147541 1334350 1547846 1601220 2001525 2295082 2321769 2668700 3095692 3442623 3869615 4003050 4590164 4643538 5737705 6885246 7739230 8006100 9287076 11475410 11608845 13770492 15478460 17213115 19348075 22950820 23217690 28688525 33278689 34426230 38696150 46435380 57377050 58044225 66557378 68852460 77392300 86065575 99836067 114754100 116088450 133114756 166393445 172131150 199672134 232176900 332786890 344262300 399344268 499180335 665573780 831967225 998360670 1663934450 1996721340 2495901675 3327868900 4991803350 9983606700