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2993380460 = 2257193121171
BaseRepresentation
bin1011001001101011…
…0101110001101100
321201121120111000222
42302122311301230
522112301133320
61213010310512
7134115212510
oct26232656154
97647514028
102993380460
1112a675a054
126b6588438
13389207555
142057a2140
15127bd7825
hexb26b5c6c

2993380460 has 144 divisors (see below), whose sum is σ = 7820709120. Its totient is φ = 940118400.

The previous prime is 2993380447. The next prime is 2993380477. The reversal of 2993380460 is 640833992.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 2555675 + ... + 2556845.

It is an arithmetic number, because the mean of its divisors is an integer number (54310480).

Almost surely, 22993380460 is an apocalyptic number.

2993380460 is a gapful number since it is divisible by the number (20) 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 2993380460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910354560).

2993380460 is an abundant number, since it is smaller than the sum of its proper divisors (4827328660).

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

2993380460 is a wasteful number, since it uses less digits than its factorization.

2993380460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 2993380460 is about 54711.7945236674. The cubic root of 2993380460 is about 1441.1880081715.

The spelling of 2993380460 in words is "two billion, nine hundred ninety-three million, three hundred eighty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 961 1085 1171 1178 1330 1922 2170 2342 2356 2660 2945 3844 4123 4340 4684 4805 5855 5890 6727 8197 8246 9610 11710 11780 13454 16394 16492 18259 19220 20615 22249 23420 26908 32788 33635 36301 36518 40985 41230 44498 67270 72602 73036 81970 82460 88996 91295 111245 127813 134540 145204 155743 163940 181505 182590 222490 254107 255626 311486 363010 365180 444980 508214 511252 622972 639065 689719 726020 778715 1016428 1125331 1270535 1278130 1379438 1557430 2250662 2541070 2556260 2758876 3114860 3448595 4501324 4828033 5082140 5626655 6897190 7877317 9656066 11253310 13794380 15754634 19312132 21381289 22506620 24140165 31509268 39386585 42762578 48280330 78773170 85525156 96560660 106906445 149669023 157546340 213812890 299338046 427625780 598676092 748345115 1496690230 2993380460