Search a number
-
+
289920168 = 23331342223
BaseRepresentation
bin10001010001111…
…101010010101000
3202012112110201000
4101101331102220
51043204421133
644433555000
710120165206
oct2121752250
9665473630
10289920168
1113971a34a
1281115a60
13480abac5
142a70c076
151a6bc413
hex1147d4a8

289920168 has 32 divisors (see below), whose sum is σ = 805334400. Its totient is φ = 96639984.

The previous prime is 289920149. The next prime is 289920173. The reversal of 289920168 is 861029982.

It is a zygodrome in base 6.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 670896 + ... + 671327.

It is an arithmetic number, because the mean of its divisors is an integer number (25166700).

Almost surely, 2289920168 is an apocalyptic number.

It is an amenable number.

289920168 is an abundant number, since it is smaller than the sum of its proper divisors (515414232).

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

289920168 is a wasteful number, since it uses less digits than its factorization.

289920168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342238 (or 1342228 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 289920168 is about 17027.0422563638. The cubic root of 289920168 is about 661.8498517036.

The spelling of 289920168 in words is "two hundred eighty-nine million, nine hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1342223 2684446 4026669 5368892 8053338 10737784 12080007 16106676 24160014 32213352 36240021 48320028 72480042 96640056 144960084 289920168