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6056000 = 2653757
BaseRepresentation
bin10111000110100001000000
3102101200021022
4113012201000
53022243000
6333445012
7102321656
oct27064100
912350238
106056000
113466a65
122040768
131340642
14b38dd6
157e9585
hex5c6840

6056000 has 56 divisors (see below), whose sum is σ = 15017496. Its totient is φ = 2419200.

The previous prime is 6055993. The next prime is 6056023. The reversal of 6056000 is 6506.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 5914624 = 376^2 + 2432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6056000.

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, 7622 + ... + 8378.

Almost surely, 26056000 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 6056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508748).

6056000 is an abundant number, since it is smaller than the sum of its proper divisors (8961496).

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

6056000 is an equidigital number, since it uses as much as digits as its factorization.

6056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 6056000 is about 2460.8941464435. The cubic root of 6056000 is about 182.2756359599.

The spelling of 6056000 in words is "six million, fifty-six thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 757 800 1000 1514 1600 2000 3028 3785 4000 6056 7570 8000 12112 15140 18925 24224 30280 37850 48448 60560 75700 94625 121120 151400 189250 242240 302800 378500 605600 757000 1211200 1514000 3028000 6056000