Search a number
-
+
6817530000 = 24354227251
BaseRepresentation
bin1100101100101101…
…10100000010010000
3122121010101102000010
412112112310002100
5102430241430000
63044255154520
7330642022521
oct62626640220
918533342003
106817530000
112989355216
1213a3215a40
13848578a28
1448961c848
1529d7c3d50
hex1965b4090

6817530000 has 100 divisors (see below), whose sum is σ = 22007992688. Its totient is φ = 1818000000.

The previous prime is 6817529977. The next prime is 6817530001. The reversal of 6817530000 is 357186.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6817530000.

It is not an unprimeable number, because it can be changed into a prime (6817530001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 83626 + ... + 143625.

Almost surely, 26817530000 is an apocalyptic number.

6817530000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6817530000 is an abundant number, since it is smaller than the sum of its proper divisors (15190462688).

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

6817530000 is a wasteful number, since it uses less digits than its factorization.

6817530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227282 (or 227261 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 6817530000 is about 82568.3353350423. The cubic root of 6817530000 is about 1896.1630786041.

Adding to 6817530000 its reverse (357186), we get a palindrome (6817887186).

The spelling of 6817530000 in words is "six billion, eight hundred seventeen million, five hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 227251 454502 681753 909004 1136255 1363506 1818008 2272510 2727012 3408765 3636016 4545020 5454024 5681275 6817530 9090040 10908048 11362550 13635060 17043825 18180080 22725100 27270120 28406375 34087650 45450200 54540240 56812750 68175300 85219125 90900400 113625500 136350600 142031875 170438250 227251000 272701200 284063750 340876500 426095625 454502000 568127500 681753000 852191250 1136255000 1363506000 1704382500 2272510000 3408765000 6817530000