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289039960 = 2351136189
BaseRepresentation
bin10001001110100…
…110011001011000
3202010212202021201
4101032212121120
51042443234320
644403043544
710106541046
oct2116463130
9663782251
10289039960
11139179000
12809705b4
1347b61281
142a55d396
151a59670a
hex113a6658

289039960 has 128 divisors (see below), whose sum is σ = 735220800. Its totient is φ = 102220800.

The previous prime is 289039957. The next prime is 289039963. The reversal of 289039960 is 69930982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (289039957) and next prime (289039963).

It is a self number, because there is not a number n which added to its sum of digits gives 289039960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289039963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247596 + ... + 3247684.

Almost surely, 2289039960 is an apocalyptic number.

289039960 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 289039960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367610400).

289039960 is an abundant number, since it is smaller than the sum of its proper divisors (446180840).

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

289039960 is a wasteful number, since it uses less digits than its factorization.

289039960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 289039960 is about 17001.1752534935. The cubic root of 289039960 is about 661.1793727714.

The spelling of 289039960 in words is "two hundred eighty-nine million, thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 89 110 121 122 178 220 242 244 305 356 440 445 484 488 605 610 671 712 890 968 979 1210 1220 1331 1342 1780 1958 2420 2440 2662 2684 3355 3560 3916 4840 4895 5324 5368 5429 6655 6710 7381 7832 9790 10648 10769 10858 13310 13420 14762 19580 21538 21716 26620 26840 27145 29524 36905 39160 43076 43432 53240 53845 54290 59048 59719 73810 81191 86152 107690 108580 118459 119438 147620 162382 215380 217160 236918 238876 295240 298595 324764 405955 430760 473836 477752 592295 597190 649528 656909 811910 947672 1184590 1194380 1313818 1623820 2369180 2388760 2627636 3247640 3284545 4738360 5255272 6569090 7225999 13138180 14451998 26276360 28903996 36129995 57807992 72259990 144519980 289039960