Search a number
-
+
5816960 = 27561149
BaseRepresentation
bin10110001100001010000000
3101221112100222
4112030022000
52442120320
6324402212
7100305032
oct26141200
911845328
105816960
113313406
121b46368
1312888b6
14ab5c52
1579d825
hex58c280

5816960 has 64 divisors (see below), whose sum is σ = 14229000. Its totient is φ = 2273280.

The previous prime is 5816927. The next prime is 5816971. The reversal of 5816960 is 696185.

It can be written as a sum of positive squares in 4 ways, for example, as 1784896 + 4032064 = 1336^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5816960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38966 + ... + 39114.

Almost surely, 25816960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114500).

5816960 is an abundant number, since it is smaller than the sum of its proper divisors (8412040).

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

5816960 is a wasteful number, since it uses less digits than its factorization.

5816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 5816960 is about 2411.8374737946. The cubic root of 5816960 is about 179.8451342869.

It can be divided in two parts, 5816 and 960, that added together give a palindrome (6776).

The spelling of 5816960 in words is "five million, eight hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 149 160 244 298 305 320 488 596 610 640 745 976 1192 1220 1490 1952 2384 2440 2980 3904 4768 4880 5960 7808 9089 9536 9760 11920 18178 19072 19520 23840 36356 39040 45445 47680 72712 90890 95360 145424 181780 290848 363560 581696 727120 1163392 1454240 2908480 5816960