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606112 = 25133147
BaseRepresentation
bin10010011111110100000
31010210102121
42103332200
5123343422
620554024
75103043
oct2237640
91123377
10606112
11384421
12252914
13182b60
1411ac5a
15be8c7
hex93fa0

606112 has 48 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 264960.

The previous prime is 606091. The next prime is 606113. The reversal of 606112 is 211606.

606112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (606113) by changing a digit.

606112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12873 + ... + 12919.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2606112 is an apocalyptic number.

606112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

606112 is an abundant number, since it is smaller than the sum of its proper divisors (748640).

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

606112 is a wasteful number, since it uses less digits than its factorization.

606112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 606112 is about 778.5319518170. The cubic root of 606112 is about 84.6286917829.

Adding to 606112 its reverse (211606), we get a palindrome (817718).

The spelling of 606112 in words is "six hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 94 104 124 188 208 248 376 403 416 496 611 752 806 992 1222 1457 1504 1612 2444 2914 3224 4888 5828 6448 9776 11656 12896 18941 19552 23312 37882 46624 75764 151528 303056 606112