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289076970 = 23573132161
BaseRepresentation
bin10001001110101…
…111011011101010
3202010221122001110
4101032233123222
51043000430340
644403531150
710110054000
oct2116573352
9663848043
10289076970
111391a3896
1280989ab6
1347b75080
142a56ca70
151a5a2680
hex113af6ea

289076970 has 128 divisors (see below), whose sum is σ = 871718400. Its totient is φ = 60963840.

The previous prime is 289076933. The next prime is 289076971. The reversal of 289076970 is 79670982.

289076970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289076971) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132690 + ... + 134850.

It is an arithmetic number, because the mean of its divisors is an integer number (6810300).

Almost surely, 2289076970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289076970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435859200).

289076970 is an abundant number, since it is smaller than the sum of its proper divisors (582641430).

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

289076970 is a wasteful number, since it uses less digits than its factorization.

289076970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 289076970 is about 17002.2636728172. The cubic root of 289076970 is about 661.2075917119.

The spelling of 289076970 in words is "two hundred eighty-nine million, seventy-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 343 390 455 490 546 637 686 735 910 1029 1274 1365 1470 1715 1911 2058 2161 2730 3185 3430 3822 4322 4459 5145 6370 6483 8918 9555 10290 10805 12966 13377 15127 19110 21610 22295 26754 28093 30254 32415 44590 45381 56186 64830 66885 75635 84279 90762 105889 133770 140465 151270 168558 196651 211778 226905 280930 317667 393302 421395 453810 529445 589953 635334 741223 842790 983255 1058890 1179906 1376557 1482446 1588335 1966510 2223669 2753114 2949765 3176670 3706115 4129671 4447338 5899530 6882785 7412230 8259342 9635899 11118345 13765570 19271798 20648355 22236690 28907697 41296710 48179495 57815394 96358990 144538485 289076970