Search a number
-
+
260664320 = 2105721039
BaseRepresentation
bin11111000100101…
…10110000000000
3200011111010020002
433202112300000
51013212224240
641510535132
76313416200
oct1742266000
9604433202
10260664320
11124157a64
12733674a8
1342007757
1426894400
1517d3dd15
hexf896c00

260664320 has 132 divisors (see below), whose sum is σ = 728076960. Its totient is φ = 89284608.

The previous prime is 260664307. The next prime is 260664373. The reversal of 260664320 is 23466062.

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 11 ways as a sum of consecutive naturals, for example, 250361 + ... + 251399.

Almost surely, 2260664320 is an apocalyptic number.

260664320 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 260664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364038480).

260664320 is an abundant number, since it is smaller than the sum of its proper divisors (467412640).

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

260664320 is a wasteful number, since it uses less digits than its factorization.

260664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 260664320 is about 16145.1020436540. The cubic root of 260664320 is about 638.7935605496.

The spelling of 260664320 in words is "two hundred sixty million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1039 1120 1280 1568 1792 1960 2078 2240 2560 3136 3584 3920 4156 4480 5120 5195 6272 7168 7273 7840 8312 8960 10390 12544 14546 15680 16624 17920 20780 25088 29092 31360 33248 35840 36365 41560 50176 50911 58184 62720 66496 72730 83120 101822 116368 125440 132992 145460 166240 203644 232736 250880 254555 265984 290920 332480 407288 465472 509110 531968 581840 664960 814576 930944 1018220 1063936 1163680 1329920 1629152 1861888 2036440 2327360 2659840 3258304 3723776 4072880 4654720 5319680 6516608 7447552 8145760 9309440 13033216 16291520 18618880 26066432 32583040 37237760 52132864 65166080 130332160 260664320