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6330112 = 2879313
BaseRepresentation
bin11000001001011100000000
3102220121021121
4120021130000
53110030422
6343402024
7104543065
oct30113400
912817247
106330112
1136339a8
122153314
131408339
14baac6c
158508c7
hex609700

6330112 has 36 divisors (see below), whose sum is σ = 12836320. Its totient is φ = 3115008.

The previous prime is 6330109. The next prime is 6330119. The reversal of 6330112 is 2110336.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6330119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20068 + ... + 20380.

Almost surely, 26330112 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 6330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418160).

6330112 is an abundant number, since it is smaller than the sum of its proper divisors (6506208).

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

6330112 is an equidigital number, since it uses as much as digits as its factorization.

6330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 6330112 is about 2515.9713829851. The cubic root of 6330112 is about 184.9852630092.

Adding to 6330112 its reverse (2110336), we get a palindrome (8440448).

The spelling of 6330112 in words is "six million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 313 316 626 632 1252 1264 2504 2528 5008 5056 10016 10112 20032 20224 24727 40064 49454 80128 98908 197816 395632 791264 1582528 3165056 6330112