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260002890 = 232573113313
BaseRepresentation
bin11110111111101…
…01010001001010
3200010020111220200
433133311101022
51013030043030
641444433030
76304662630
oct1737652112
9603214820
10260002890
11123846024
12730a8776
1341b35684
1426761350
1517c5cd60
hexf7f544a

260002890 has 96 divisors (see below), whose sum is σ = 797561856. Its totient is φ = 57507840.

The previous prime is 260002889. The next prime is 260002891. The reversal of 260002890 is 98200062.

It is an interprime number because it is at equal distance from previous prime (260002889) and next prime (260002891).

It is not an unprimeable number, because it can be changed into a prime (260002891) 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 47 ways as a sum of consecutive naturals, for example, 12874 + ... + 26186.

It is an arithmetic number, because the mean of its divisors is an integer number (8307936).

Almost surely, 2260002890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260002890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398780928).

260002890 is an abundant number, since it is smaller than the sum of its proper divisors (537558966).

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

260002890 is a wasteful number, since it uses less digits than its factorization.

260002890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 260002890 is about 16124.6051114438. The cubic root of 260002890 is about 638.2527946769.

The spelling of 260002890 in words is "two hundred sixty million, two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 13313 19530 26626 39939 66565 79878 93191 119817 133130 186382 199695 239634 279573 399390 412703 465955 559146 599085 825406 838719 931910 1198170 1238109 1397865 1677438 2063515 2476218 2795730 2888921 3714327 4127030 4193595 5777842 6190545 7428654 8387190 8666763 12381090 14444605 17333526 18571635 26000289 28889210 37143270 43333815 52000578 86667630 130001445 260002890