Search a number
-
+
289402520 = 235111275179
BaseRepresentation
bin10001001111111…
…110111010011000
3202011120011121212
4101033332322120
51043041340040
644414522252
710112611061
oct2117767230
9664504555
10289402520
111393a6440
1280b06388
1347c5a2c4
142a615568
151a618d65
hex113fee98

289402520 has 64 divisors (see below), whose sum is σ = 716083200. Its totient is φ = 104388480.

The previous prime is 289402489. The next prime is 289402549. The reversal of 289402520 is 25204982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53291 + ... + 58469.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 2289402520 is an apocalyptic number.

289402520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289402520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358041600).

289402520 is an abundant number, since it is smaller than the sum of its proper divisors (426680680).

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

289402520 is a wasteful number, since it uses less digits than its factorization.

289402520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 289402520 is about 17011.8347041111. The cubic root of 289402520 is about 661.4557094559.

The spelling of 289402520 in words is "two hundred eighty-nine million, four hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2794 5080 5179 5588 6985 10358 11176 13970 20716 25895 27940 41432 51790 55880 56969 103580 113938 207160 227876 284845 455752 569690 657733 1139380 1315466 2278760 2630932 3288665 5261864 6577330 7235063 13154660 14470126 26309320 28940252 36175315 57880504 72350630 144701260 289402520