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5682724560 = 243352630891
BaseRepresentation
bin1010100101011011…
…10111111011010000
3112200001001022121000
411102231313323100
543114234141220
62335520302000
7260552235042
oct52255677320
915601038530
105682724560
112456828087
121127171900
136c742ca16
143bca1da92
15233d65390
hex152b77ed0

5682724560 has 80 divisors (see below), whose sum is σ = 19573836480. Its totient is φ = 1515392640.

The previous prime is 5682724547. The next prime is 5682724561. The reversal of 5682724560 is 654272865.

5682724560 is a `hidden beast` number, since 5 + 6 + 82 + 7 + 2 + 4 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682724561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313286 + ... + 1317605.

It is an arithmetic number, because the mean of its divisors is an integer number (244672956).

Almost surely, 25682724560 is an apocalyptic number.

It is an amenable number.

5682724560 is an abundant number, since it is smaller than the sum of its proper divisors (13891111920).

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

5682724560 is a wasteful number, since it uses less digits than its factorization.

5682724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630913 (or 2630901 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5682724560 is about 75383.8481373829. The cubic root of 5682724560 is about 1784.5095185111.

The spelling of 5682724560 in words is "five billion, six hundred eighty-two million, seven hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2630891 5261782 7892673 10523564 13154455 15785346 21047128 23678019 26308910 31570692 39463365 42094256 47356038 52617820 63141384 71034057 78926730 94712076 105235640 118390095 126282768 142068114 157853460 189424152 210471280 236780190 284136228 315706920 355170285 378848304 473560380 568272456 631413840 710340570 947120760 1136544912 1420681140 1894241520 2841362280 5682724560