Search a number
-
+
6124216 = 237217919
BaseRepresentation
bin10111010111001010111000
3102112010211211
4113113022320
53031433331
6335132504
7103024600
oct27271270
912463754
106124216
11350323a
122074134
1313656c7
14b55c00
1580e8b1
hex5d72b8

6124216 has 48 divisors (see below), whose sum is σ = 14158800. Its totient is φ = 2467584.

The previous prime is 6124207. The next prime is 6124219.

6124216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61242162 = 75012043229312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6124219) 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 11 ways as a sum of consecutive naturals, for example, 6205 + ... + 7123.

It is an arithmetic number, because the mean of its divisors is an integer number (294975).

Almost surely, 26124216 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 6124216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079400).

6124216 is an abundant number, since it is smaller than the sum of its proper divisors (8034584).

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

6124216 is a wasteful number, since it uses less digits than its factorization.

6124216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 6124216 is about 2474.7153371651. The cubic root of 6124216 is about 182.9574786492.

The spelling of 6124216 in words is "six million, one hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 919 952 1666 1838 3332 3676 6433 6664 7352 12866 15623 25732 31246 45031 51464 62492 90062 109361 124984 180124 218722 360248 437444 765527 874888 1531054 3062108 6124216