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8001000030 = 23559109113367
BaseRepresentation
bin1110111001110010…
…11001001001011110
3202122121021220200110
413130321121021132
5112341224000110
63401533110450
7402162243462
oct73471311136
922577256613
108001000030
1134363a0821
121673628426
139a680335a
1455c8884a2
1531c646a20
hex1dce5925e

8001000030 has 128 divisors (see below), whose sum is σ = 19935590400. Its totient is φ = 2054191104.

The previous prime is 8001000023. The next prime is 8001000047. The reversal of 8001000030 is 300001008.

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 63 ways as a sum of consecutive naturals, for example, 21800907 + ... + 21801273.

It is an arithmetic number, because the mean of its divisors is an integer number (155746800).

Almost surely, 28001000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9967795200).

8001000030 is an abundant number, since it is smaller than the sum of its proper divisors (11934590370).

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

8001000030 is a wasteful number, since it uses less digits than its factorization.

8001000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 8001000030 is about 89448.3092629481. The cubic root of 8001000030 is about 2000.0833323611.

Adding to 8001000030 its reverse (300001008), we get a palindrome (8301001038).

The spelling of 8001000030 in words is "eight billion, one million, thirty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 10 15 30 59 109 113 118 177 218 226 295 327 339 354 367 545 565 590 654 678 734 885 1090 1101 1130 1635 1695 1770 1835 2202 3270 3390 3670 5505 6431 6667 11010 12317 12862 13334 19293 20001 21653 24634 32155 33335 36951 38586 40002 40003 41471 43306 61585 64310 64959 66670 73902 80006 82942 96465 100005 108265 120009 123170 124413 129918 184755 192930 200010 200015 207355 216530 240018 248826 324795 369510 400030 414710 600045 622065 649590 726703 1200090 1244130 1453406 2180109 2360177 2446789 3633515 4360218 4520339 4720354 4893578 7080531 7267030 7340367 9040678 10900545 11800885 12233945 13561017 14161062 14680734 21801090 22601695 23601770 24467890 27122034 35402655 36701835 45203390 67805085 70805310 73403670 135610170 266700001 533400002 800100003 1333500005 1600200006 2667000010 4000500015 8001000030