Search a number
-
+
6022840320 = 2143357389
BaseRepresentation
bin1011001101111110…
…10100000000000000
3120112202000222201000
411212333110000000
544313321342240
62433350212000
7302152204140
oct54677240000
916482028630
106022840320
112610811092
121201054000
1374ca34c53
14411c76920
15253b4a430
hex166fd4000

6022840320 has 480 divisors, whose sum is σ = 24535929600. Its totient is φ = 1373110272.

The previous prime is 6022840249. The next prime is 6022840331. The reversal of 6022840320 is 230482206.

6022840320 is a `hidden beast` number, since 60 + 2 + 284 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482686 + ... + 15483074.

It is an arithmetic number, because the mean of its divisors is an integer number (51116520).

Almost surely, 26022840320 is an apocalyptic number.

6022840320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6022840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267964800).

6022840320 is an abundant number, since it is smaller than the sum of its proper divisors (18513089280).

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

6022840320 is an equidigital number, since it uses as much as digits as its factorization.

6022840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6022840320 is about 77606.9605125726. The cubic root of 6022840320 is about 1819.4234296487.

The spelling of 6022840320 in words is "six billion, twenty-two million, eight hundred forty thousand, three hundred twenty".