Search a number
-
+
260244864 = 27321121867
BaseRepresentation
bin11111000001100…
…00010110000000
3200010200210211200
433200300112000
51013110313424
641453541200
76310021245
oct1740602600
9603623750
10260244864
111239a0900
12731a4800
1341bbb859
14267c55cc
1517ca98c9
hexf830580

260244864 has 144 divisors (see below), whose sum is σ = 823591860. Its totient is φ = 78819840.

The previous prime is 260244851. The next prime is 260244871. The reversal of 260244864 is 468442062.

It is a happy number.

260244864 is a `hidden beast` number, since 2 + 602 + 4 + 48 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138459 + ... + 140325.

Almost surely, 2260244864 is an apocalyptic number.

260244864 is a gapful number since it is divisible by the number (24) 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 260244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411795930).

260244864 is an abundant number, since it is smaller than the sum of its proper divisors (563346996).

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

260244864 is a wasteful number, since it uses less digits than its factorization.

260244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 260244864 is about 16132.1066200295. The cubic root of 260244864 is about 638.4507318306.

The spelling of 260244864 in words is "two hundred sixty million, two hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1867 1936 2112 2178 2904 3168 3734 3872 4224 4356 5601 5808 6336 7468 7744 8712 11202 11616 12672 14936 15488 16803 17424 20537 22404 23232 29872 33606 34848 41074 44808 46464 59744 61611 67212 69696 82148 89616 119488 123222 134424 139392 164296 179232 184833 225907 238976 246444 268848 328592 358464 369666 451814 492888 537696 657184 677721 716928 739332 903628 985776 1075392 1314368 1355442 1478664 1807256 1971552 2033163 2150784 2628736 2710884 2957328 3614512 3943104 4066326 5421768 5914656 7229024 7886208 8132652 10843536 11829312 14458048 16265304 21687072 23658624 28916096 32530608 43374144 65061216 86748288 130122432 260244864