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5383806720 = 28354792927
BaseRepresentation
bin1010000001110011…
…00101111100000000
3111220012120201101220
411000321211330000
542011223303340
62250121355040
7250262413335
oct50071457400
914805521356
105383806720
112313022746
121063038a80
1367a520666
1439104c98c
152179bbed0
hex140e65f00

5383806720 has 144 divisors (see below), whose sum is σ = 17236316160. Its totient is φ = 1432195072.

The previous prime is 5383806709. The next prime is 5383806739. The reversal of 5383806720 is 276083835.

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 15 ways as a sum of consecutive naturals, for example, 1837897 + ... + 1840823.

It is an arithmetic number, because the mean of its divisors is an integer number (119696640).

Almost surely, 25383806720 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 5383806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618158080).

5383806720 is an abundant number, since it is smaller than the sum of its proper divisors (11852509440).

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

5383806720 is a wasteful number, since it uses less digits than its factorization.

5383806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5383806720 is about 73374.4282430875. The cubic root of 5383806720 is about 1752.6552041587.

The spelling of 5383806720 in words is "five billion, three hundred eighty-three million, eight hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 479 480 640 768 958 960 1280 1437 1916 1920 2395 2874 2927 3832 3840 4790 5748 5854 7185 7664 8781 9580 11496 11708 14370 14635 15328 17562 19160 22992 23416 28740 29270 30656 35124 38320 43905 45984 46832 57480 58540 61312 70248 76640 87810 91968 93664 114960 117080 122624 140496 153280 175620 183936 187328 229920 234160 280992 306560 351240 367872 374656 459840 468320 561984 613120 702480 749312 919680 936640 1123968 1402033 1404960 1839360 1873280 2247936 2804066 2809920 3746560 4206099 5608132 5619840 7010165 8412198 11216264 11239680 14020330 16824396 21030495 22432528 28040660 33648792 42060990 44865056 56081320 67297584 84121980 89730112 112162640 134595168 168243960 179460224 224325280 269190336 336487920 358920448 448650560 538380672 672975840 897301120 1076761344 1345951680 1794602240 2691903360 5383806720