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6107112 = 2332112701
BaseRepresentation
bin10111010010111111101000
3102111021101100
4113102333220
53030411422
6334521400
7102623664
oct27227750
912437340
106107112
1134a1400
122066260
13135a99b
14b4d8a4
158097ac
hex5d2fe8

6107112 has 72 divisors (see below), whose sum is σ = 18206370. Its totient is φ = 1848000.

The previous prime is 6107083. The next prime is 6107119. The reversal of 6107112 is 2117016.

6107112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4186116 + 1920996 = 2046^2 + 1386^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (6107119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8362 + ... + 9062.

Almost surely, 26107112 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 6107112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103185).

6107112 is an abundant number, since it is smaller than the sum of its proper divisors (12099258).

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

6107112 is a wasteful number, since it uses less digits than its factorization.

6107112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 6107112 is about 2471.2571699441. The cubic root of 6107112 is about 182.7869957408.

The spelling of 6107112 in words is "six million, one hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 701 726 792 968 1089 1402 1452 2103 2178 2804 2904 4206 4356 5608 6309 7711 8412 8712 12618 15422 16824 23133 25236 30844 46266 50472 61688 69399 84821 92532 138798 169642 185064 254463 277596 339284 508926 555192 678568 763389 1017852 1526778 2035704 3053556 6107112