Search a number
-
+
5260263840 = 2532513280997
BaseRepresentation
bin1001110011000100…
…10100000110100000
3111120121010002102200
410321202110012200
541233111420330
62225545413200
7244232335116
oct47142240640
914517102380
105260263840
11225a311097
12102979a200
1365aa55c70
1437c88dab6
1520bc16a60
hex1398941a0

5260263840 has 144 divisors (see below), whose sum is σ = 19331538408. Its totient is φ = 1294829568.

The previous prime is 5260263787. The next prime is 5260263847. The reversal of 5260263840 is 483620625.

5260263840 is a `hidden beast` number, since 5 + 2 + 602 + 6 + 3 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4706508816 + 553755024 = 68604^2 + 23532^2 .

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 junction number, because it is equal to n+sod(n) for n = 5260263795 and 5260263804.

It is not an unprimeable number, because it can be changed into a prime (5260263847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121779 + ... + 159218.

Almost surely, 25260263840 is an apocalyptic number.

It is an amenable number.

5260263840 is an abundant number, since it is smaller than the sum of its proper divisors (14071274568).

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

5260263840 is a wasteful number, since it uses less digits than its factorization.

5260263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281031 (or 281020 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5260263840 is about 72527.6763725407. The cubic root of 5260263840 is about 1739.1452004297.

The spelling of 5260263840 in words is "five billion, two hundred sixty million, two hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 280997 561994 842991 1123988 1404985 1685982 2247976 2528973 2809970 3371964 3652961 4214955 4495952 5057946 5619940 6743928 7305922 8429910 8991904 10115892 10958883 11239880 12644865 13487856 14611844 16859820 18264805 20231784 21917766 22479760 25289730 26975712 29223688 32876649 33719640 36529610 40463568 43835532 44959520 50579460 54794415 58447376 65753298 67439280 73059220 80927136 87671064 101158920 109588830 116894752 131506596 134878560 146118440 164383245 175342128 202317840 219177660 263013192 292236880 328766490 350684256 404635680 438355320 526026384 584473760 657532980 876710640 1052052768 1315065960 1753421280 2630131920 5260263840