Search a number
-
+
9935980 = 2252937463
BaseRepresentation
bin100101111001…
…110001101100
3200200210121021
4211321301230
510020422410
6552543524
7150311605
oct45716154
920623537
109935980
11567705a
1233b1ba4
13209b6a2
141468dac
15d13eda
hex979c6c

9935980 has 48 divisors (see below), whose sum is σ = 22216320. Its totient is φ = 3725568.

The previous prime is 9935969. The next prime is 9935987. The reversal of 9935980 is 895399.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9935987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21229 + ... + 21691.

It is an arithmetic number, because the mean of its divisors is an integer number (462840).

Almost surely, 29935980 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 9935980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108160).

9935980 is an abundant number, since it is smaller than the sum of its proper divisors (12280340).

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

9935980 is a wasteful number, since it uses less digits than its factorization.

9935980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The square root of 9935980 is about 3152.1389563279. The cubic root of 9935980 is about 214.9827280158.

The spelling of 9935980 in words is "nine million, nine hundred thirty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 463 580 740 926 1073 1852 2146 2315 4292 4630 5365 9260 10730 13427 17131 21460 26854 34262 53708 67135 68524 85655 134270 171310 268540 342620 496799 993598 1987196 2483995 4967990 9935980