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4098082320 = 2432543132367
BaseRepresentation
bin1111010001000011…
…1100011000010000
3101120121021011002200
43310100330120100
531343102113240
61514352043200
7203361060603
oct36420743020
911517234080
104098082320
1118132959a2
12964533500
135040433a7
142ac3a633a
1518eb9b930
hexf443c610

4098082320 has 120 divisors (see below), whose sum is σ = 14082896256. Its totient is φ = 1067399424.

The previous prime is 4098082319. The next prime is 4098082333. The reversal of 4098082320 is 232808904.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35224 + ... + 97143.

Almost surely, 24098082320 is an apocalyptic number.

4098082320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4098082320 is an abundant number, since it is smaller than the sum of its proper divisors (9984813936).

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

4098082320 is a wasteful number, since it uses less digits than its factorization.

4098082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132429 (or 132420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4098082320 is about 64016.2660579325. The cubic root of 4098082320 is about 1600.2710894831.

The spelling of 4098082320 in words is "four billion, ninety-eight million, eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 132367 264734 397101 529468 661835 794202 1058936 1191303 1323670 1588404 1985505 2117872 2382606 2647340 3176808 3971010 4765212 5294680 5691781 5956515 6353616 7942020 9530424 10589360 11383562 11913030 15884040 17075343 19060848 22767124 23826060 28458905 31768080 34150686 45534248 47652120 51226029 56917810 68301372 85376715 91068496 95304240 102452058 113835620 136602744 170753430 204904116 227671240 256130145 273205488 341506860 409808232 455342480 512260290 683013720 819616464 1024520580 1366027440 2049041160 4098082320