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1998006000 = 24353973433
BaseRepresentation
bin111011100010111…
…0010011011110000
312011020121012222020
41313011302123300
513042442143000
6530132111440
7100340525244
oct16705623360
95136535866
101998006000
11935905531
12479165580
1325ac29893
1414d4da424
15ba61bba0
hex771726f0

1998006000 has 160 divisors (see below), whose sum is σ = 6509875008. Its totient is φ = 527155200.

The previous prime is 1998005983. The next prime is 1998006001. The reversal of 1998006000 is 6008991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580284 + ... + 583716.

Almost surely, 21998006000 is an apocalyptic number.

1998006000 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 1998006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254937504).

1998006000 is an abundant number, since it is smaller than the sum of its proper divisors (4511869008).

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

1998006000 is a wasteful number, since it uses less digits than its factorization.

1998006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1998006000 is about 44699.0603928092. The cubic root of 1998006000 is about 1259.5021969030.

The spelling of 1998006000 in words is "one billion, nine hundred ninety-eight million, six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 125 150 194 200 240 250 291 300 375 388 400 485 500 582 600 750 776 970 1000 1164 1200 1455 1500 1552 1940 2000 2328 2425 2910 3000 3433 3880 4656 4850 5820 6000 6866 7275 7760 9700 10299 11640 12125 13732 14550 17165 19400 20598 23280 24250 27464 29100 34330 36375 38800 41196 48500 51495 54928 58200 68660 72750 82392 85825 97000 102990 116400 137320 145500 164784 171650 194000 205980 257475 274640 291000 333001 343300 411960 429125 514950 582000 666002 686600 823920 858250 999003 1029900 1287375 1332004 1373200 1665005 1716500 1998006 2059800 2574750 2664008 3330010 3433000 3996012 4119600 4995015 5149500 5328016 6660020 6866000 7992024 8325025 9990030 10299000 13320040 15984048 16650050 19980060 20598000 24975075 26640080 33300100 39960120 41625125 49950150 66600200 79920240 83250250 99900300 124875375 133200400 166500500 199800600 249750750 333001000 399601200 499501500 666002000 999003000 1998006000