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8003025660 = 2235727170313
BaseRepresentation
bin1110111010000010…
…00111101011111100
3202122202002211022210
413131001013223330
5112342233310120
63402044340420
7402215411220
oct73501075374
922582084283
108003025660
1134375546a3
121674244710
139a7062356
1455cc54780
1531c8e6ce0
hex1dd047afc

8003025660 has 96 divisors (see below), whose sum is σ = 25704548352. Its totient is φ = 1822487040.

The previous prime is 8003025659. The next prime is 8003025683. The reversal of 8003025660 is 665203008.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 78664 + ... + 148976.

It is an arithmetic number, because the mean of its divisors is an integer number (267755712).

Almost surely, 28003025660 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 8003025660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852274176).

8003025660 is an abundant number, since it is smaller than the sum of its proper divisors (17701522692).

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

8003025660 is a wasteful number, since it uses less digits than its factorization.

8003025660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70603 (or 70601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 8003025660 is about 89459.6314546399. The cubic root of 8003025660 is about 2000.2521065531.

Adding to 8003025660 its reverse (665203008), we get a palindrome (8668228668).

The spelling of 8003025660 in words is "eight billion, three million, twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1355 1626 1897 2710 3252 3794 4065 5420 5691 7588 8130 9485 11382 16260 18970 22764 28455 37940 56910 70313 113820 140626 210939 281252 351565 421878 492191 703130 843756 984382 1054695 1406260 1476573 1968764 2109390 2460955 2953146 4218780 4921910 5906292 7382865 9843820 14765730 19054823 29531460 38109646 57164469 76219292 95274115 114328938 133383761 190548230 228657876 266767522 285822345 381096460 400151283 533535044 571644690 666918805 800302566 1143289380 1333837610 1600605132 2000756415 2667675220 4001512830 8003025660