Search a number
-
+
5301663660 = 22325277106331
BaseRepresentation
bin1001111000000000…
…01111011110101100
3111200111000102022100
410330000033132230
541324211214120
62234025015100
7245244253236
oct47400173654
914614012270
105301663660
112280718417
12103b624490
136664bc9b7
14384189256
15210693490
hex13c00f7ac

5301663660 has 72 divisors (see below), whose sum is σ = 16139921616. Its totient is φ = 1408659840.

The previous prime is 5301663611. The next prime is 5301663667. The reversal of 5301663660 is 663661035.

It is a happy number.

5301663660 is a `hidden beast` number, since 5 + 3 + 0 + 16 + 636 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5301663667) 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, 3306 + ... + 103025.

It is an arithmetic number, because the mean of its divisors is an integer number (224165578).

Almost surely, 25301663660 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 5301663660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069960808).

5301663660 is an abundant number, since it is smaller than the sum of its proper divisors (10838257956).

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

5301663660 is a wasteful number, since it uses less digits than its factorization.

5301663660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106623 (or 106618 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5301663660 is about 72812.5240600819. The cubic root of 5301663660 is about 1743.6958107028.

The spelling of 5301663660 in words is "five billion, three hundred one million, six hundred sixty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 16620 24930 49860 106331 212662 318993 425324 531655 637986 956979 1063310 1275972 1594965 1913958 2126620 3189930 3827916 4784895 6379860 9569790 19139580 29453687 58907374 88361061 117814748 147268435 176722122 265083183 294536870 353444244 441805305 530166366 589073740 883610610 1060332732 1325415915 1767221220 2650831830 5301663660