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5760340864 = 27591734409
BaseRepresentation
bin1010101110101011…
…11101001110000000
3112212110002122010221
411113111331032000
543244121401424
62351332032424
7262514042455
oct52725751600
915773078127
105760340864
112496620393
121149162714
1370a537125
143c906582c
1523aa979e4
hex15757d380

5760340864 has 64 divisors (see below), whose sum is σ = 11740302000. Its totient is φ = 2814349312.

The previous prime is 5760340849. The next prime is 5760340907. The reversal of 5760340864 is 4680430675.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5760340864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304292 + ... + 1308700.

Almost surely, 25760340864 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 5760340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870151000).

5760340864 is an abundant number, since it is smaller than the sum of its proper divisors (5979961136).

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

5760340864 is a wasteful number, since it uses less digits than its factorization.

5760340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 5760340864 is about 75896.9094495948. The cubic root of 5760340864 is about 1792.5972578686.

The spelling of 5760340864 in words is "five billion, seven hundred sixty million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 173 236 346 472 692 944 1384 1888 2768 3776 4409 5536 7552 8818 10207 11072 17636 20414 22144 35272 40828 70544 81656 141088 163312 260131 282176 326624 520262 564352 653248 762757 1040524 1306496 1525514 2081048 3051028 4162096 6102056 8324192 12204112 16648384 24408224 33296768 45002663 48816448 90005326 97632896 180010652 360021304 720042608 1440085216 2880170432 5760340864