Search a number
-
+
8060434164 = 2232378967993
BaseRepresentation
bin1111000000111000…
…00111011011110100
3202210202010110222200
413200130013123310
5113001432343124
63411455024500
7403513363026
oct74034073364
922722113880
108060434164
1134669a5542
12168b50b130
139b5c12893
1456671a016
15322986bc9
hex1e07076f4

8060434164 has 72 divisors (see below), whose sum is σ = 21161092680. Its totient is φ = 2584783872.

The previous prime is 8060434159. The next prime is 8060434169. The reversal of 8060434164 is 4614340608.

8060434164 is a `hidden beast` number, since 8 + 0 + 60 + 434 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (8060434159) and next prime (8060434169).

It can be written as a sum of positive squares in 4 ways, for example, as 2474067600 + 5586366564 = 49740^2 + 74742^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8060434169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84552 + ... + 152544.

It is an arithmetic number, because the mean of its divisors is an integer number (293904065).

Almost surely, 28060434164 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 8060434164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580546340).

8060434164 is an abundant number, since it is smaller than the sum of its proper divisors (13100658516).

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

8060434164 is a wasteful number, since it uses less digits than its factorization.

8060434164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68129 (or 68124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8060434164 is about 89779.9207172740. The cubic root of 8060434164 is about 2005.0235517328.

The spelling of 8060434164 in words is "eight billion, sixty million, four hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9879 13172 19758 29637 39516 59274 67993 118548 135986 203979 271972 407958 611937 815916 1223874 2447748 2515741 5031482 6051377 7547223 10062964 12102754 15094446 18154131 22641669 24205508 30188892 36308262 45283338 54462393 72616524 90566676 108924786 217849572 223900949 447801898 671702847 895603796 1343405694 2015108541 2686811388 4030217082 8060434164