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995112 = 233317271
BaseRepresentation
bin11110010111100101000
31212120001000
43302330220
5223320422
633155000
711313126
oct3627450
91776030
10995112
1161a708
123bba60
1328ac31
141bc916
15149cac
hexf2f28

995112 has 64 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 311040.

The previous prime is 995081. The next prime is 995117. The reversal of 995112 is 211599.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 995112.

It is not an unprimeable number, because it can be changed into a prime (995117) by changing a digit.

995112 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 3537 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2995112 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 995112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

995112 is an abundant number, since it is smaller than the sum of its proper divisors (1942488).

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

995112 is a wasteful number, since it uses less digits than its factorization.

995112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 995112 is about 997.5530061105. The cubic root of 995112 is about 99.8368004707.

995112 divided by its sum of digits (27) gives a triangular number (36856 = T271).

The spelling of 995112 in words is "nine hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 271 306 408 459 542 612 813 918 1084 1224 1626 1836 2168 2439 3252 3672 4607 4878 6504 7317 9214 9756 13821 14634 18428 19512 27642 29268 36856 41463 55284 58536 82926 110568 124389 165852 248778 331704 497556 995112