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1998561320 = 2357311931193
BaseRepresentation
bin111011100011111…
…1010000000101000
312011021122102201122
41313013322000220
513043112430240
6530152034412
7100345330250
oct16707720050
95137572648
101998561320
11936154778
12479392a08
1325b092582
1414d602960
15ba6cb4b5
hex771fa028

1998561320 has 128 divisors (see below), whose sum is σ = 5336893440. Its totient is φ = 659128320.

The previous prime is 1998561317. The next prime is 1998561329. The reversal of 1998561320 is 231658991.

It is a happy number.

1998561320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1998561329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674644 + ... + 1675836.

It is an arithmetic number, because the mean of its divisors is an integer number (41694480).

Almost surely, 21998561320 is an apocalyptic number.

1998561320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998561320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668446720).

1998561320 is an abundant number, since it is smaller than the sum of its proper divisors (3338332120).

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

1998561320 is a wasteful number, since it uses less digits than its factorization.

1998561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 1998561320 is about 44705.2717249319. The cubic root of 1998561320 is about 1259.6188735581.

The spelling of 1998561320 in words is "one billion, nine hundred ninety-eight million, five hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 193 217 248 280 310 386 434 620 772 868 965 1085 1193 1240 1351 1544 1736 1930 2170 2386 2702 3860 4340 4772 5404 5965 5983 6755 7720 8351 8680 9544 10808 11930 11966 13510 16702 23860 23932 27020 29915 33404 36983 41755 41881 47720 47864 54040 59830 66808 73966 83510 83762 119660 147932 167020 167524 184915 209405 230249 239320 258881 295864 334040 335048 369830 418810 460498 517762 739660 837620 920996 1035524 1151245 1294405 1479320 1611743 1675240 1841992 2071048 2302490 2588810 3223486 4604980 5177620 6446972 7137719 8058715 9209960 10355240 12893944 14275438 16117430 28550876 32234860 35688595 49964033 57101752 64469720 71377190 99928066 142754380 199856132 249820165 285508760 399712264 499640330 999280660 1998561320