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6332130 = 2325719232
BaseRepresentation
bin11000001001111011100010
3102220201001100
4120021323202
53110112010
6343415230
7104552010
oct30117342
912821040
106332130
113635472
122154516
13140922c
14bab8b0
158512c0
hex609ee2

6332130 has 144 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 1311552.

The previous prime is 6332129. The next prime is 6332159. The reversal of 6332130 is 312336.

It is a happy number.

6332130 is a `hidden beast` number, since 633 + 2 + 1 + 30 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275299 + ... + 275321.

It is an arithmetic number, because the mean of its divisors is an integer number (143780).

Almost surely, 26332130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352160).

6332130 is an abundant number, since it is smaller than the sum of its proper divisors (14372190).

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

6332130 is a wasteful number, since it uses less digits than its factorization.

6332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 6332130 is about 2516.3723889758. The cubic root of 6332130 is about 185.0049183012.

Adding to 6332130 its reverse (312336), we get a palindrome (6644466).

The spelling of 6332130 in words is "six million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 23 30 35 38 42 45 46 57 63 69 70 90 95 105 114 115 126 133 138 161 171 190 207 210 230 266 285 315 322 342 345 399 414 437 483 529 570 630 665 690 798 805 855 874 966 1035 1058 1197 1311 1330 1449 1587 1610 1710 1995 2070 2185 2394 2415 2622 2645 2898 3059 3174 3703 3933 3990 4370 4761 4830 5290 5985 6118 6555 7245 7406 7866 7935 9177 9522 10051 11109 11970 13110 14490 15295 15870 18354 18515 19665 20102 22218 23805 27531 30153 30590 33327 37030 39330 45885 47610 50255 55062 55545 60306 66654 70357 90459 91770 100510 111090 137655 140714 150765 166635 180918 211071 275310 301530 333270 351785 422142 452295 633213 703570 904590 1055355 1266426 2110710 3166065 6332130