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6801300900 = 22325227492
BaseRepresentation
bin1100101010110001…
…11001110110100100
3122112222211212212100
412111120321312210
5102412113112100
63042515252100
7330354050412
oct62530716644
918488755770
106801300900
112980180039
1213998aa030
138450b5b04
144873d62b2
1529c16a400
hex195639da4

6801300900 has 81 divisors (see below), whose sum is σ = 21326057571. Its totient is φ = 1813020480.

The previous prime is 6801300881. The next prime is 6801300901. The reversal of 6801300900 is 90031086.

Multipling 6801300900 by its product of nonzero digits (1296), we get a square (8814485966400 = 29689202).

Adding to 6801300900 its reverse (90031086), we get a palindrome (6891331986).

The square root of 6801300900 is 82470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2010446244 + 4790854656 = 44838^2 + 69216^2 .

It is not an unprimeable number, because it can be changed into a prime (6801300901) 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 26 ways as a sum of consecutive naturals, for example, 2472726 + ... + 2475474.

Almost surely, 26801300900 is an apocalyptic number.

6801300900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6801300900 is the 82470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801300900

6801300900 is an abundant number, since it is smaller than the sum of its proper divisors (14524756671).

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

6801300900 is a wasteful number, since it uses less digits than its factorization.

6801300900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 6801300900 is about 1894.6572805164.

The spelling of 6801300900 in words is "six billion, eight hundred one million, three hundred thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2749 5498 8247 10996 13745 16494 24741 27490 32988 41235 49482 54980 68725 82470 98964 123705 137450 164940 206175 247410 274900 412350 494820 618525 824700 1237050 2474100 7557001 15114002 22671003 30228004 37785005 45342006 68013009 75570010 90684012 113355015 136026018 151140020 188925025 226710030 272052036 340065045 377850050 453420060 566775075 680130090 755700100 1133550150 1360260180 1700325225 2267100300 3400650450 6801300900