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6820007480 = 23511137316333
BaseRepresentation
bin1100101101000000…
…10000111000111000
3122121022001021110122
412112200100320320
5102431410214410
63044424232412
7331002051506
oct62640207070
918538037418
106820007480
11298a797620
1213a400b708
13848c355b0
14489aa5676
1529db12e55
hex196810e38

6820007480 has 128 divisors (see below), whose sum is σ = 18275785920. Its totient is φ = 2257735680.

The previous prime is 6820007479. The next prime is 6820007501. The reversal of 6820007480 is 847000286.

It is a self number, because there is not a number n which added to its sum of digits gives 6820007480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 409394 + ... + 425726.

Almost surely, 26820007480 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 6820007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137892960).

6820007480 is an abundant number, since it is smaller than the sum of its proper divisors (11455778440).

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

6820007480 is a wasteful number, since it uses less digits than its factorization.

6820007480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16441 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 6820007480 is about 82583.3365758492. The cubic root of 6820007480 is about 1896.3927383769.

The spelling of 6820007480 in words is "six billion, eight hundred twenty million, seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 73 88 104 110 130 143 146 220 260 286 292 365 440 520 572 584 715 730 803 949 1144 1430 1460 1606 1898 2860 2920 3212 3796 4015 4745 5720 6424 7592 8030 9490 10439 16060 16333 18980 20878 32120 32666 37960 41756 52195 65332 81665 83512 104390 130664 163330 179663 208780 212329 326660 359326 417560 424658 653320 718652 849316 898315 1061645 1192309 1437304 1698632 1796630 2123290 2335619 2384618 3593260 4246580 4671238 4769236 5961545 7186520 8493160 9342476 9538472 11678095 11923090 13115399 15500017 18684952 23356190 23846180 26230798 31000034 46712380 47692360 52461596 62000068 65576995 77500085 93424760 104923192 124000136 131153990 155000170 170500187 262307980 310000340 341000374 524615960 620000680 682000748 852500935 1364001496 1705001870 3410003740 6820007480