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289870280 = 23572712083
BaseRepresentation
bin10001010001110…
…001000111001000
3202012102221021022
4101101301013020
51043201322110
644432532012
710116566600
oct2121610710
9665387238
10289870280
11139695917
12810b1008
134809219b
142a6d7c00
151a6ac755
hex114711c8

289870280 has 96 divisors (see below), whose sum is σ = 769746240. Its totient is φ = 97937280.

The previous prime is 289870277. The next prime is 289870297. The reversal of 289870280 is 82078982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138119 + ... + 140201.

It is an arithmetic number, because the mean of its divisors is an integer number (8018190).

Almost surely, 2289870280 is an apocalyptic number.

289870280 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 289870280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384873120).

289870280 is an abundant number, since it is smaller than the sum of its proper divisors (479875960).

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

289870280 is a wasteful number, since it uses less digits than its factorization.

289870280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 289870280 is about 17025.5772295685. The cubic root of 289870280 is about 661.8118869313.

The spelling of 289870280 in words is "two hundred eighty-nine million, eight hundred seventy thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 71 98 140 142 196 245 280 284 355 392 490 497 568 710 980 994 1420 1960 1988 2083 2485 2840 3479 3976 4166 4970 6958 8332 9940 10415 13916 14581 16664 17395 19880 20830 27832 29162 34790 41660 58324 69580 72905 83320 102067 116648 139160 145810 147893 204134 291620 295786 408268 510335 583240 591572 739465 816536 1020670 1035251 1183144 1478930 2041340 2070502 2957860 4082680 4141004 5176255 5915720 7246757 8282008 10352510 14493514 20705020 28987028 36233785 41410040 57974056 72467570 144935140 289870280