Search a number
-
+
6315030 = 2335191231
BaseRepresentation
bin11000000101110000010110
3102212211121000
4120011300112
53104040110
6343204130
7104451111
oct30056026
912784530
106315030
113623637
122146646
131401507
14ba5578
1584b1c0
hex605c16

6315030 has 64 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1594080.

The previous prime is 6315017. The next prime is 6315031. The reversal of 6315030 is 305136.

6315030 is a `hidden beast` number, since 631 + 5 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6314994 and 6315012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4515 + ... + 5745.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 26315030 is an apocalyptic number.

6315030 is the 2052-nd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6315030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

6315030 is an abundant number, since it is smaller than the sum of its proper divisors (11425770).

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

6315030 is a wasteful number, since it uses less digits than its factorization.

6315030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 6315030 is about 2512.9723436600. The cubic root of 6315030 is about 184.8382320966.

The spelling of 6315030 in words is "six million, three hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1231 1710 2462 2565 3693 5130 6155 7386 11079 12310 18465 22158 23389 33237 36930 46778 55395 66474 70167 110790 116945 140334 166185 210501 233890 332370 350835 421002 631503 701670 1052505 1263006 2105010 3157515 6315030