Search a number
-
+
99330 = 23571143
BaseRepresentation
bin11000010000000010
312001020220
4120100002
511134310
62043510
7562410
oct302002
9161226
1099330
11686a0
1249596
133629a
14282b0
151e670
hex18402

99330 has 64 divisors (see below), whose sum is σ = 304128. Its totient is φ = 20160.

The previous prime is 99317. The next prime is 99347. The reversal of 99330 is 3399.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (4752).

299330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064).

99330 is an abundant number, since it is smaller than the sum of its proper divisors (204798).

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

99330 is a wasteful number, since it uses less digits than its factorization.

99330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 99330 is about 315.1666225983. The cubic root of 99330 is about 46.3119938078.

It can be divided in two parts, 9 and 9330, that added together give a palindrome (9339).

The spelling of 99330 in words is "ninety-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 43 55 66 70 77 86 105 110 129 154 165 210 215 231 258 301 330 385 430 462 473 602 645 770 903 946 1155 1290 1419 1505 1806 2310 2365 2838 3010 3311 4515 4730 6622 7095 9030 9933 14190 16555 19866 33110 49665 99330