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6130656 = 253273041
BaseRepresentation
bin10111011000101111100000
3102112110200100
4113120233200
53032140111
6335222400
7103052430
oct27305740
912473610
106130656
113508064
122077a00
13136860c
14b582c0
15811756
hex5d8be0

6130656 has 72 divisors (see below), whose sum is σ = 19931184. Its totient is φ = 1751040.

The previous prime is 6130609. The next prime is 6130661. The reversal of 6130656 is 6560316.

6130656 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 656 = 666.

6130656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 496 + ... + 3536.

It is an arithmetic number, because the mean of its divisors is an integer number (276822).

Almost surely, 26130656 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 6130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9965592).

6130656 is an abundant number, since it is smaller than the sum of its proper divisors (13800528).

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

6130656 is a wasteful number, since it uses less digits than its factorization.

6130656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6130656 is about 2476.0161550362. The cubic root of 6130656 is about 183.0215866321.

It can be divided in two parts, 6130 and 656, that added together give a triangular number (6786 = T116).

The spelling of 6130656 in words is "six million, one hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3041 6082 9123 12164 18246 21287 24328 27369 36492 42574 48656 54738 63861 72984 85148 97312 109476 127722 145968 170296 191583 218952 255444 291936 340592 383166 437904 510888 681184 766332 875808 1021776 1532664 2043552 3065328 6130656