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6306630 = 2351129659
BaseRepresentation
bin11000000011101101000110
3102212102001220
4120003231012
53103303010
6343101210
7104414451
oct30035506
912772056
106306630
1136182a0
122141806
1313ca745
14ba2498
15848970
hex603b46

6306630 has 64 divisors (see below), whose sum is σ = 17107200. Its totient is φ = 1473920.

The previous prime is 6306617. The next prime is 6306647. The reversal of 6306630 is 366036.

It is a self number, because there is not a number n which added to its sum of digits gives 6306630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9241 + ... + 9899.

It is an arithmetic number, because the mean of its divisors is an integer number (267300).

Almost surely, 26306630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6306630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553600).

6306630 is an abundant number, since it is smaller than the sum of its proper divisors (10800570).

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

6306630 is a wasteful number, since it uses less digits than its factorization.

6306630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 6306630 is about 2511.3004599211. The cubic root of 6306630 is about 184.7562409274.

It can be divided in two parts, 630 and 6630, that added together give a triangular number (7260 = T120).

The spelling of 6306630 in words is "six million, three hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 659 870 957 1318 1595 1914 1977 3190 3295 3954 4785 6590 7249 9570 9885 14498 19111 19770 21747 36245 38222 43494 57333 72490 95555 108735 114666 191110 210221 217470 286665 420442 573330 630663 1051105 1261326 2102210 3153315 6306630