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289080 = 233251173
BaseRepresentation
bin1000110100100111000
3112200112200
41012210320
533222310
610110200
72312541
oct1064470
9480480
10289080
11188210
1211b360
13a176c
14774c8
155a9c0
hex46938

289080 has 96 divisors (see below), whose sum is σ = 1038960. Its totient is φ = 69120.

The previous prime is 289067. The next prime is 289099. The reversal of 289080 is 80982.

289080 = 162 + 172 + ... + 952.

289080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3924 + ... + 3996.

2289080 is an apocalyptic number.

289080 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 289080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519480).

289080 is an abundant number, since it is smaller than the sum of its proper divisors (749880).

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

289080 is a wasteful number, since it uses less digits than its factorization.

289080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 289080 is about 537.6616036133. The cubic root of 289080 is about 66.1209901883.

The spelling of 289080 in words is "two hundred eighty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 73 88 90 99 110 120 132 146 165 180 198 219 220 264 292 330 360 365 396 438 440 495 584 657 660 730 792 803 876 990 1095 1314 1320 1460 1606 1752 1980 2190 2409 2628 2920 3212 3285 3960 4015 4380 4818 5256 6424 6570 7227 8030 8760 9636 12045 13140 14454 16060 19272 24090 26280 28908 32120 36135 48180 57816 72270 96360 144540 289080