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290331860 = 225721321753
BaseRepresentation
bin10001010011100…
…001110011010100
3202020022101102212
4101103201303110
51043311104420
644450452552
710123531400
oct2123416324
9666271385
10290331860
11139980695
1281294158
13481c4300
142a7b8100
151a74e3c5
hex114e1cd4

290331860 has 108 divisors (see below), whose sum is σ = 768430908. Its totient is φ = 91832832.

The previous prime is 290331841. The next prime is 290331863. The reversal of 290331860 is 68133092.

It can be written as a sum of positive squares in 6 ways, for example, as 140612164 + 149719696 = 11858^2 + 12236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290331863) 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 35 ways as a sum of consecutive naturals, for example, 164744 + ... + 166496.

It is an arithmetic number, because the mean of its divisors is an integer number (7115101).

Almost surely, 2290331860 is an apocalyptic number.

290331860 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 290331860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384215454).

290331860 is an abundant number, since it is smaller than the sum of its proper divisors (478099048).

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

290331860 is a wasteful number, since it uses less digits than its factorization.

290331860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 290331860 is about 17039.1273250716. The cubic root of 290331860 is about 662.1629832091.

The spelling of 290331860 in words is "two hundred ninety million, three hundred thirty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1753 1820 2366 2548 3185 3380 3506 4732 5915 6370 7012 8281 8765 11830 12271 12740 16562 17530 22789 23660 24542 33124 35060 41405 45578 49084 61355 82810 85897 91156 113945 122710 159523 165620 171794 227890 245420 296257 319046 343588 429485 455780 592514 638092 797615 858970 1116661 1185028 1481285 1595230 1717940 2073799 2233322 2962570 3190460 4147598 4466644 5583305 5925140 8295196 10368995 11166610 14516593 20737990 22333220 29033186 41475980 58066372 72582965 145165930 290331860