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6056064 = 27327751
BaseRepresentation
bin10111000110100010000000
3102101200100200
4113012202000
53022243224
6333445200
7102322110
oct27064200
912350320
106056064
113467013
122040800
131340691
14b39040
157e95c9
hex5c6880

6056064 has 96 divisors (see below), whose sum is σ = 19943040. Its totient is φ = 1728000.

The previous prime is 6056059. The next prime is 6056111. The reversal of 6056064 is 4606506.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×60560642 = 73351822344192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7689 + ... + 8439.

It is an arithmetic number, because the mean of its divisors is an integer number (207740).

Almost surely, 26056064 is an apocalyptic number.

6056064 is a gapful number since it is divisible by the number (64) 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 6056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971520).

6056064 is an abundant number, since it is smaller than the sum of its proper divisors (13886976).

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

6056064 is a wasteful number, since it uses less digits than its factorization.

6056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6056064 is about 2460.9071498128. The cubic root of 6056064 is about 182.2762780559.

The spelling of 6056064 in words is "six million, fifty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 751 896 1008 1152 1344 1502 2016 2253 2688 3004 4032 4506 5257 6008 6759 8064 9012 10514 12016 13518 15771 18024 21028 24032 27036 31542 36048 42056 47313 48064 54072 63084 72096 84112 94626 96128 108144 126168 144192 168224 189252 216288 252336 288384 336448 378504 432576 504672 672896 757008 865152 1009344 1514016 2018688 3028032 6056064