Search a number
-
+
9993986160 = 2435417313913
BaseRepresentation
bin10010100111011000…
…00010000001110000
3221210111110002200120
421103230002001300
5130431430024120
64331405450240
7502442323614
oct112354020160
927714402616
109993986160
1142693877a4
121b2ab70980
13c336930a2
146ab439344
153d75c1140
hex253b02070

9993986160 has 160 divisors (see below), whose sum is σ = 32174065728. Its totient is φ = 2564259840.

The previous prime is 9993986153. The next prime is 9993986173. The reversal of 9993986160 is 616893999.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9993986094 and 9993986103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711364 + ... + 725276.

Almost surely, 29993986160 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 9993986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087032864).

9993986160 is an abundant number, since it is smaller than the sum of its proper divisors (22180079568).

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

9993986160 is a wasteful number, since it uses less digits than its factorization.

9993986160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14037 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 60.

The square root of 9993986160 is about 99969.9262778562. The cubic root of 9993986160 is about 2154.0027225770.

The spelling of 9993986160 in words is "nine billion, nine hundred ninety-three million, nine hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 73 80 82 120 123 146 164 205 219 240 246 292 328 365 410 438 492 584 615 656 730 820 876 984 1095 1168 1230 1460 1640 1752 1968 2190 2460 2920 2993 3280 3504 4380 4920 5840 5986 8760 8979 9840 11972 13913 14965 17520 17958 23944 27826 29930 35916 41739 44895 47888 55652 59860 69565 71832 83478 89790 111304 119720 139130 143664 166956 179580 208695 222608 239440 278260 333912 359160 417390 556520 570433 667824 718320 834780 1015649 1113040 1140866 1669560 1711299 2031298 2281732 2852165 3046947 3339120 3422598 4062596 4563464 5078245 5704330 6093894 6845196 8125192 8556495 9126928 10156490 11408660 12187788 13690392 15234735 16250384 17112990 20312980 22817320 24375576 27380784 30469470 34225980 40625960 41641609 45634640 48751152 60938940 68451960 81251920 83283218 121877880 124924827 136903920 166566436 208208045 243755760 249849654 333132872 416416090 499699308 624624135 666265744 832832180 999398616 1249248270 1665664360 1998797232 2498496540 3331328720 4996993080 9993986160