Search a number
-
+
6189120 = 263257307
BaseRepresentation
bin10111100111000001000000
3102122102212200
4113213001000
53041022440
6340353200
7103415040
oct27470100
912572780
106189120
113547a83
1220a5800
131389102
14b71720
15823c30
hex5e7040

6189120 has 168 divisors, whose sum is σ = 24408384. Its totient is φ = 1410048.

The previous prime is 6189109. The next prime is 6189133. The reversal of 6189120 is 219816.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20007 + ... + 20313.

It is an arithmetic number, because the mean of its divisors is an integer number (145288).

Almost surely, 26189120 is an apocalyptic number.

6189120 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 6189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204192).

6189120 is an abundant number, since it is smaller than the sum of its proper divisors (18219264).

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

6189120 is a wasteful number, since it uses less digits than its factorization.

6189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6189120 is about 2487.7942037074. The cubic root of 6189120 is about 183.6015321614.

The spelling of 6189120 in words is "six million, one hundred eighty-nine thousand, one hundred twenty".