Search a number
-
+
260460960 = 25351633329
BaseRepresentation
bin11111000011001…
…01000110100000
3200011002210021020
433201211012200
51013134222320
641502325440
76311611254
oct1741450640
9604083236
10260460960
111240291a1
1273289880
1341c66016
1426840264
1517ced940
hexf8651a0

260460960 has 96 divisors (see below), whose sum is σ = 825733440. Its totient is φ = 69009408.

The previous prime is 260460929. The next prime is 260460971. The reversal of 260460960 is 69064062.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76576 + ... + 79904.

It is an arithmetic number, because the mean of its divisors is an integer number (8601390).

Almost surely, 2260460960 is an apocalyptic number.

260460960 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 260460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412866720).

260460960 is an abundant number, since it is smaller than the sum of its proper divisors (565272480).

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

260460960 is a wasteful number, since it uses less digits than its factorization.

260460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 260460960 is about 16138.8029295856. The cubic root of 260460960 is about 638.6273968345.

The spelling of 260460960 in words is "two hundred sixty million, four hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 815 978 1304 1630 1956 2445 2608 3260 3329 3912 4890 5216 6520 6658 7824 9780 9987 13040 13316 15648 16645 19560 19974 26080 26632 33290 39120 39948 49935 53264 66580 78240 79896 99870 106528 133160 159792 199740 266320 319584 399480 532640 542627 798960 1085254 1597920 1627881 2170508 2713135 3255762 4341016 5426270 6511524 8139405 8682032 10852540 13023048 16278810 17364064 21705080 26046096 32557620 43410160 52092192 65115240 86820320 130230480 260460960