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6104666240 = 27510194441
BaseRepresentation
bin1011010111101110…
…11101000010000000
3120202110000011202122
411223313131002000
5100000243304430
62445432103412
7304164543521
oct55367350200
916673004678
106104666240
112652a1a112
121224534b68
1376398445a
1441ca96848
1525ae0eee5
hex16bddd080

6104666240 has 64 divisors (see below), whose sum is σ = 14738618520. Its totient is φ = 2417664000.

The previous prime is 6104666213. The next prime is 6104666287. The reversal of 6104666240 is 426664016.

It can be written as a sum of positive squares in 4 ways, for example, as 6070279744 + 34386496 = 77912^2 + 5864^2 .

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 6104666240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17420 + ... + 111860.

Almost surely, 26104666240 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 6104666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369309260).

6104666240 is an abundant number, since it is smaller than the sum of its proper divisors (8633952280).

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

6104666240 is a wasteful number, since it uses less digits than its factorization.

6104666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94561 (or 94549 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 6104666240 is about 78132.3635889764. The cubic root of 6104666240 is about 1827.6259179914.

The spelling of 6104666240 in words is "six billion, one hundred four million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 94441 188882 377764 472205 755528 944410 1511056 1888820 3022112 3777640 6044224 7555280 9538541 12088448 15110560 19077082 30221120 38154164 47692705 60442240 76308328 95385410 152616656 190770820 305233312 381541640 610466624 763083280 1220933248 1526166560 3052333120 6104666240