Search a number
-
+
6130782 = 23373331
BaseRepresentation
bin10111011000110001011110
3102112110212000
4113120301132
53032141112
6335223130
7103053000
oct27306136
912473760
106130782
113508169
122077aa6
1313686a8
14b58370
158117dc
hex5d8c5e

6130782 has 64 divisors (see below), whose sum is σ = 15936000. Its totient is φ = 1746360.

The previous prime is 6130781. The next prime is 6130783. The reversal of 6130782 is 2870316.

It is an interprime number because it is at equal distance from previous prime (6130781) and next prime (6130783).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6130781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18357 + ... + 18687.

It is an arithmetic number, because the mean of its divisors is an integer number (249000).

Almost surely, 26130782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968000).

6130782 is an abundant number, since it is smaller than the sum of its proper divisors (9805218).

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

6130782 is a wasteful number, since it uses less digits than its factorization.

6130782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6130782 is about 2476.0415990043. The cubic root of 6130782 is about 183.0228404708.

The spelling of 6130782 in words is "six million, one hundred thirty thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 331 343 378 441 662 686 882 993 1029 1323 1986 2058 2317 2646 2979 3087 4634 5958 6174 6951 8937 9261 13902 16219 17874 18522 20853 32438 41706 48657 62559 97314 113533 125118 145971 227066 291942 340599 437913 681198 875826 1021797 2043594 3065391 6130782