Search a number
-
+
5730805080 = 23355711131931
BaseRepresentation
bin1010101011001010…
…10010010101011000
3112210101112001200000
411111211102111120
543214041230310
62344355013000
7262005016350
oct52545222530
915711461600
105730805080
112480987750
12113b29a160
13704395530
143c5177b60
152381b14c0
hex155952558

5730805080 has 1536 divisors, whose sum is σ = 28178841600. Its totient is φ = 1007769600.

The previous prime is 5730805063. The next prime is 5730805103. The reversal of 5730805080 is 805080375.

It is a happy number.

5730805080 is a `hidden beast` number, since 5 + 73 + 0 + 80 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184864665 + ... + 184864695.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 25730805080 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 5730805080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089420800).

5730805080 is an abundant number, since it is smaller than the sum of its proper divisors (22448036520).

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

5730805080 is a wasteful number, since it uses less digits than its factorization.

5730805080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5730805080 is about 75702.0810810377. The cubic root of 5730805080 is about 1789.5281966597.

The spelling of 5730805080 in words is "five billion, seven hundred thirty million, eight hundred five thousand, eighty".