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289369080 = 2332571121373
BaseRepresentation
bin10001001111110…
…110101111111000
3202011111110202100
4101033312233320
51043034302310
644414103400
710112411430
oct2117665770
9664443670
10289369080
11139383300
1280aaab60
1347c48010
142a6072c0
151a60dec0
hex113f6bf8

289369080 has 576 divisors, whose sum is σ = 1289695680. Its totient is φ = 54743040.

The previous prime is 289369079. The next prime is 289369109. The reversal of 289369080 is 80963982.

289369080 is a `hidden beast` number, since 289 + 369 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963924 + ... + 3963996.

It is an arithmetic number, because the mean of its divisors is an integer number (2239055).

Almost surely, 2289369080 is an apocalyptic number.

289369080 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 289369080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644847840).

289369080 is an abundant number, since it is smaller than the sum of its proper divisors (1000326600).

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

289369080 is a wasteful number, since it uses less digits than its factorization.

289369080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 289369080 is about 17010.8518305228. The cubic root of 289369080 is about 661.4302317569.

The spelling of 289369080 in words is "two hundred eighty-nine million, three hundred sixty-nine thousand, eighty".