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6134112 = 253219259
BaseRepresentation
bin10111011001100101100000
3102112122102100
4113121211200
53032242422
6335250400
7103065465
oct27314540
912478370
106134112
11350a716
122079a00
13136a06a
14b5966c
158127ac
hex5d9960

6134112 has 108 divisors (see below), whose sum is σ = 18722340. Its totient is φ = 1904256.

The previous prime is 6134101. The next prime is 6134129. The reversal of 6134112 is 2114316.

It is a happy number.

6134112 is a `hidden beast` number, since 613 + 41 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 17 ways as a sum of consecutive naturals, for example, 103939 + ... + 103997.

It is an arithmetic number, because the mean of its divisors is an integer number (173355).

Almost surely, 26134112 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 6134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361170).

6134112 is an abundant number, since it is smaller than the sum of its proper divisors (12588228).

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

6134112 is a wasteful number, since it uses less digits than its factorization.

6134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 6134112 is about 2476.7139519936. The cubic root of 6134112 is about 183.0559714127.

Adding to 6134112 its reverse (2114316), we get a palindrome (8248428).

The spelling of 6134112 in words is "six million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 59 72 76 96 114 118 144 152 171 177 228 236 288 304 342 354 361 456 472 531 608 684 708 722 912 944 1062 1083 1121 1368 1416 1444 1824 1888 2124 2166 2242 2736 2832 2888 3249 3363 4248 4332 4484 5472 5664 5776 6498 6726 8496 8664 8968 10089 11552 12996 13452 16992 17328 17936 20178 21299 25992 26904 34656 35872 40356 42598 51984 53808 63897 80712 85196 103968 107616 127794 161424 170392 191691 255588 322848 340784 383382 511176 681568 766764 1022352 1533528 2044704 3067056 6134112