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996696 = 2332109127
BaseRepresentation
bin11110011010101011000
31212122012200
43303111120
5223343241
633210200
711320551
oct3632530
91778180
10996696
11620918
12400960
1328b87c
141bd328
1514a4b6
hexf3558

996696 has 48 divisors (see below), whose sum is σ = 2745600. Its totient is φ = 326592.

The previous prime is 996689. The next prime is 996703. The reversal of 996696 is 696699.

It is an interprime number because it is at equal distance from previous prime (996689) and next prime (996703).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

996696 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 11 ways as a sum of consecutive naturals, for example, 7785 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (57200).

2996696 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 996696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372800).

996696 is an abundant number, since it is smaller than the sum of its proper divisors (1748904).

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

996696 is a wasteful number, since it uses less digits than its factorization.

996696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 996696 is about 998.3466331891. The cubic root of 996696 is about 99.8897451500.

The spelling of 996696 in words is "nine hundred ninety-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 127 218 254 327 381 436 508 654 762 872 981 1016 1143 1308 1524 1962 2286 2616 3048 3924 4572 7848 9144 13843 27686 41529 55372 83058 110744 124587 166116 249174 332232 498348 996696