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999989980 = 22511217109223
BaseRepresentation
bin111011100110101…
…010001011011100
32120200122202100221
4323212222023130
54021444134410
6243121131124
733531526453
oct7346521334
92520582327
10999989980
11473517300
1223aa89aa4
1312c235762
1496b47b9a
155cbcd4da
hex3b9aa2dc

999989980 has 144 divisors (see below), whose sum is σ = 2477502720. Its totient is φ = 337582080.

The previous prime is 999989957. The next prime is 999989981. The reversal of 999989980 is 89989999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999989981) 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 47 ways as a sum of consecutive naturals, for example, 4484149 + ... + 4484371.

It is an arithmetic number, because the mean of its divisors is an integer number (17204880).

Almost surely, 2999989980 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 999989980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238751360).

999989980 is an abundant number, since it is smaller than the sum of its proper divisors (1477512740).

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

999989980 is a wasteful number, since it uses less digits than its factorization.

999989980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 70.

The square root of 999989980 is about 31622.6181711761. The cubic root of 999989980 is about 999.9966599888.

The spelling of 999989980 in words is "nine hundred ninety-nine million, nine hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 109 110 121 170 187 218 220 223 242 340 374 436 446 484 545 605 748 892 935 1090 1115 1199 1210 1853 1870 2057 2180 2230 2398 2420 2453 3706 3740 3791 4114 4460 4796 4906 5995 7412 7582 8228 9265 9812 10285 11990 12265 13189 15164 18530 18955 20383 20570 23980 24307 24530 26378 26983 37060 37910 40766 41140 41701 48614 49060 52756 53966 65945 75820 81532 83402 97228 101915 107932 121535 131890 134915 166804 203830 208505 224213 243070 263780 267377 269830 407660 413219 417010 448426 458711 486140 534754 539660 826438 834020 896852 917422 1069508 1121065 1336885 1652876 1834844 2066095 2242130 2293555 2673770 2941147 4132190 4484260 4545409 4587110 5347540 5882294 8264380 9090818 9174220 11764588 14705735 18181636 22727045 29411470 45454090 49999499 58822940 90908180 99998998 199997996 249997495 499994990 999989980