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990810240 = 2735773721
BaseRepresentation
bin111011000011101…
…001000010000000
32120001101101010120
4323003221002000
54012121411430
6242152300240
733360514410
oct7303510200
92501341116
10990810240
11469317442
122379a1680
1312a370364
1495838640
155beb8610
hex3b0e9080

990810240 has 128 divisors (see below), whose sum is σ = 3609429120. Its totient is φ = 226467840.

The previous prime is 990810229. The next prime is 990810241. The reversal of 990810240 is 42018099.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (990810241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23421 + ... + 50300.

It is an arithmetic number, because the mean of its divisors is an integer number (28198665).

Almost surely, 2990810240 is an apocalyptic number.

It is an amenable number.

990810240 is an abundant number, since it is smaller than the sum of its proper divisors (2618618880).

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

990810240 is a wasteful number, since it uses less digits than its factorization.

990810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73750 (or 73738 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 990810240 is about 31477.1383705698. The cubic root of 990810240 is about 996.9273149434.

The spelling of 990810240 in words is "nine hundred ninety million, eight hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 73721 147442 221163 294884 368605 442326 516047 589768 737210 884652 1032094 1105815 1179536 1474420 1548141 1769304 2064188 2211630 2359072 2580235 2948840 3096282 3538608 4128376 4423260 4718144 5160470 5897680 6192564 7077216 7740705 8256752 8846520 9436288 10320940 11795360 12385128 14154432 15481410 16513504 17693040 20641880 23590720 24770256 28308864 30962820 33027008 35386080 41283760 47181440 49540512 61925640 66054016 70772160 82567520 99081024 123851280 141544320 165135040 198162048 247702560 330270080 495405120 990810240