Search a number
-
+
8420964420 = 22351119366109
BaseRepresentation
bin1111101011110110…
…11011100001000100
3210201212112022112010
413311323123201010
5114221231330140
63511334254220
7415452005451
oct76573334104
923655468463
108420964420
113631462230
1217701b7370
13a42814aab
1459c568828
15344450880
hex1f5edb844

8420964420 has 96 divisors (see below), whose sum is σ = 25855885440. Its totient is φ = 2030837760.

The previous prime is 8420964397. The next prime is 8420964451. The reversal of 8420964420 is 244690248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94326 + ... + 160434.

It is an arithmetic number, because the mean of its divisors is an integer number (269332140).

Almost surely, 28420964420 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 8420964420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927942720).

8420964420 is an abundant number, since it is smaller than the sum of its proper divisors (17434921020).

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

8420964420 is a wasteful number, since it uses less digits than its factorization.

8420964420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66325 (or 66323 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 8420964420 is about 91765.8129152682. The cubic root of 8420964420 is about 2034.4824325133.

The spelling of 8420964420 in words is "eight billion, four hundred twenty million, nine hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 579 660 772 965 1158 1930 2123 2316 2895 3860 4246 5790 6369 8492 10615 11580 12738 21230 25476 31845 42460 63690 66109 127380 132218 198327 264436 330545 396654 661090 727199 793308 991635 1322180 1454398 1983270 2181597 2908796 3635995 3966540 4363194 7271990 8726388 10907985 12759037 14543980 21815970 25518074 38277111 43631940 51036148 63795185 76554222 127590370 140349407 153108444 191385555 255180740 280698814 382771110 421048221 561397628 701747035 765542220 842096442 1403494070 1684192884 2105241105 2806988140 4210482210 8420964420