Search a number
-
+
289849980 = 22357690119
BaseRepresentation
bin10001010001101…
…100001001111100
3202012101220102110
4101101230021330
51043200144410
644432254020
710116453450
oct2121541174
9665356373
10289849980
11139681642
12810a1310
1348085b84
142a6d0660
151a6a6720
hex1146c27c

289849980 has 48 divisors (see below), whose sum is σ = 927521280. Its totient is φ = 66251328.

The previous prime is 289849943. The next prime is 289849981. The reversal of 289849980 is 89948982.

289849980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 289849980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289849981) 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, 344640 + ... + 345479.

It is an arithmetic number, because the mean of its divisors is an integer number (19323360).

Almost surely, 2289849980 is an apocalyptic number.

289849980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289849980 is an abundant number, since it is smaller than the sum of its proper divisors (637671300).

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

289849980 is a wasteful number, since it uses less digits than its factorization.

289849980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690138 (or 690136 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 289849980 is about 17024.9810572582. The cubic root of 289849980 is about 661.7964373827.

The spelling of 289849980 in words is "two hundred eighty-nine million, eight hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 690119 1380238 2070357 2760476 3450595 4140714 4830833 6901190 8281428 9661666 10351785 13802380 14492499 19323332 20703570 24154165 28984998 41407140 48308330 57969996 72462495 96616660 144924990 289849980