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6804064240 = 245238941549
BaseRepresentation
bin1100101011000110…
…11100011111110000
3122120012001021110021
412111203130133300
5102413320023430
63043054413224
7330416406661
oct62543343760
918505037407
106804064240
112981798196
12139a801214
1384584281c
14487915368
1529c51407a
hex1958dc7f0

6804064240 has 80 divisors (see below), whose sum is σ = 16693128000. Its totient is φ = 2573981696.

The previous prime is 6804064237. The next prime is 6804064247. The reversal of 6804064240 is 424604086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6804064196 and 6804064205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804064247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142986 + ... + 184534.

It is an arithmetic number, because the mean of its divisors is an integer number (208664100).

Almost surely, 26804064240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6804064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346564000).

6804064240 is an abundant number, since it is smaller than the sum of its proper divisors (9889063760).

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

6804064240 is a wasteful number, since it uses less digits than its factorization.

6804064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41674 (or 41668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 6804064240 is about 82486.7519059879. The cubic root of 6804064240 is about 1894.9138428722.

The spelling of 6804064240 in words is "six billion, eight hundred four million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 178 184 230 356 368 445 460 712 890 920 1424 1780 1840 2047 3560 4094 7120 8188 10235 16376 20470 32752 40940 41549 81880 83098 163760 166196 207745 332392 415490 664784 830980 955627 1661960 1911254 3323920 3697861 3822508 4778135 7395722 7645016 9556270 14791444 15290032 18489305 19112540 29582888 36978610 38225080 59165776 73957220 76450160 85050803 147914440 170101606 295828880 340203212 425254015 680406424 850508030 1360812848 1701016060 3402032120 6804064240