Search a number
-
+
5704400160 = 253351638101
BaseRepresentation
bin1010101000000001…
…00011110100100000
3112201112211112221000
411110000203310200
543140311301120
62342013032000
7261234413154
oct52400436440
915645745830
105704400160
112467a922a8
121132485600
136cba7ba14
143c1863064
15235be7990
hex154023d20

5704400160 has 192 divisors, whose sum is σ = 20090367360. Its totient is φ = 1511654400.

The previous prime is 5704400159. The next prime is 5704400171. The reversal of 5704400160 is 610044075.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 700110 + ... + 708210.

It is an arithmetic number, because the mean of its divisors is an integer number (104637330).

Almost surely, 25704400160 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 5704400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045183680).

5704400160 is an abundant number, since it is smaller than the sum of its proper divisors (14385967200).

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

5704400160 is a wasteful number, since it uses less digits than its factorization.

5704400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5704400160 is about 75527.4795024963. The cubic root of 5704400160 is about 1786.7755230574.

The spelling of 5704400160 in words is "five billion, seven hundred four million, four hundred thousand, one hundred sixty".