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5724570240 = 27335331283
BaseRepresentation
bin1010101010011011…
…00000001010000000
3112202221210022002000
411111031200022000
543210442221430
62344013224000
7261601021104
oct52515401200
915687708060
105724570240
112478409394
121139192000
13702cc168c
143c43d3904
1523787de60
hex155360280

5724570240 has 128 divisors (see below), whose sum is σ = 20274580800. Its totient is φ = 1526547456.

The previous prime is 5724570233. The next prime is 5724570251. The reversal of 5724570240 is 420754275.

It is a happy number.

5724570240 is a `hidden beast` number, since 572 + 45 + 7 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5724570195 and 5724570204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148362 + ... + 182921.

Almost surely, 25724570240 is an apocalyptic number.

It is an amenable number.

5724570240 is an abundant number, since it is smaller than the sum of its proper divisors (14550010560).

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

5724570240 is a wasteful number, since it uses less digits than its factorization.

5724570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331311 (or 331293 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 5724570240 is about 75660.8897647920. The cubic root of 5724570240 is about 1788.8789876614.

The spelling of 5724570240 in words is "five billion, seven hundred twenty-four million, five hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 331283 662566 993849 1325132 1656415 1987698 2650264 2981547 3312830 3975396 4969245 5300528 5963094 6625660 7950792 8944641 9938490 10601056 11926188 13251320 14907735 15901584 17889282 19876980 21202112 23852376 26502640 29815470 31803168 35778564 39753960 42404224 44723205 47704752 53005280 59630940 63606336 71557128 79507920 89446410 95409504 106010560 119261880 127212672 143114256 159015840 178892820 190819008 212021120 238523760 286228512 318031680 357785640 381638016 477047520 572457024 636063360 715571280 954095040 1144914048 1431142560 1908190080 2862285120 5724570240