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5684059760 = 245198942017
BaseRepresentation
bin1010100101100101…
…11101111001110000
3112200010120011010212
411102302331321300
543120104403020
62340005043252
7260566465541
oct52262757160
915603504125
105684059760
11245755a255
1211276b6528
136c77a9692
143bcc8a4c8
1523402acc5
hex152cbde70

5684059760 has 80 divisors (see below), whose sum is σ = 14067626400. Its totient is φ = 2129707008.

The previous prime is 5684059757. The next prime is 5684059763. The reversal of 5684059760 is 679504865.

It is an interprime number because it is at equal distance from previous prime (5684059757) and next prime (5684059763).

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 = 5684059699 and 5684059708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5684059763) 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, 114272 + ... + 156288.

It is an arithmetic number, because the mean of its divisors is an integer number (175845330).

Almost surely, 25684059760 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 5684059760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033813200).

5684059760 is an abundant number, since it is smaller than the sum of its proper divisors (8383566640).

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

5684059760 is a wasteful number, since it uses less digits than its factorization.

5684059760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42138 (or 42132 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 5684059760 is about 75392.7036257488. The cubic root of 5684059760 is about 1784.6492689952.

The spelling of 5684059760 in words is "five billion, six hundred eighty-four million, fifty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 89 95 152 178 190 304 356 380 445 712 760 890 1424 1520 1691 1780 3382 3560 6764 7120 8455 13528 16910 27056 33820 42017 67640 84034 135280 168068 210085 336136 420170 672272 798323 840340 1596646 1680680 3193292 3361360 3739513 3991615 6386584 7479026 7983230 12773168 14958052 15966460 18697565 29916104 31932920 37395130 59832208 63865840 71050747 74790260 142101494 149580520 284202988 299161040 355253735 568405976 710507470 1136811952 1421014940 2842029880 5684059760