Search a number
-
+
9986616 = 23321741199
BaseRepresentation
bin100110000110…
…001000111000
3200210101001200
4212012020320
510024032431
6554014200
7150612333
oct46061070
920711050
109986616
115701102
123417360
1320b8753
14147d61a
15d23ee6
hex986238

9986616 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3041280.

The previous prime is 9986611. The next prime is 9986651. The reversal of 9986616 is 6166899.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9986611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50085 + ... + 50283.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 29986616 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 9986616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

9986616 is an abundant number, since it is smaller than the sum of its proper divisors (19497384).

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

9986616 is a wasteful number, since it uses less digits than its factorization.

9986616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9986616 is about 3160.1607554047. The cubic root of 9986616 is about 215.3473095775.

The spelling of 9986616 in words is "nine million, nine hundred eighty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 199 204 246 306 328 369 398 408 492 597 612 697 738 796 984 1194 1224 1394 1476 1592 1791 2091 2388 2788 2952 3383 3582 4182 4776 5576 6273 6766 7164 8159 8364 10149 12546 13532 14328 16318 16728 20298 24477 25092 27064 30447 32636 40596 48954 50184 60894 65272 73431 81192 97908 121788 138703 146862 195816 243576 277406 293724 416109 554812 587448 832218 1109624 1248327 1664436 2496654 3328872 4993308 9986616