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9998000730 = 23251712015441
BaseRepresentation
bin10010100111110110…
…10110001001011010
3221210210000001122100
421103323112021122
5130433442010410
64332031504230
7502521414114
oct112373261132
927723001570
109998000730
114270679a23
121b30388076
13c3446a483
146abba23b4
153d7b158c0
hex253ed625a

9998000730 has 96 divisors (see below), whose sum is σ = 27551888208. Its totient is φ = 2506752000.

The previous prime is 9998000729. The next prime is 9998000731. The reversal of 9998000730 is 370008999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9998000729) and next prime (9998000731).

It can be written as a sum of positive squares in 8 ways, for example, as 3262351689 + 6735649041 = 57117^2 + 82071^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9998000731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1834810 + ... + 1840250.

Almost surely, 29998000730 is an apocalyptic number.

9998000730 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998000730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775944104).

9998000730 is an abundant number, since it is smaller than the sum of its proper divisors (17553887478).

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

9998000730 is a wasteful number, since it uses less digits than its factorization.

9998000730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9998000730 is about 99990.0031503150. The cubic root of 9998000730 is about 2154.2911039078.

The spelling of 9998000730 in words is "nine billion, nine hundred ninety-eight million, seven hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1201 1530 2402 3603 5441 6005 7206 10809 10882 12010 16323 18015 20417 21618 27205 32646 36030 40834 48969 54045 54410 61251 81615 92497 97938 102085 108090 122502 163230 183753 184994 204170 244845 277491 306255 367506 462485 489690 554982 612510 832473 918765 924970 1387455 1664946 1837530 2774910 4162365 6534641 8324730 13069282 19603923 32673205 39207846 58811769 65346410 98019615 111088897 117623538 196039230 222177794 294058845 333266691 555444485 588117690 666533382 999800073 1110888970 1666333455 1999600146 3332666910 4999000365 9998000730