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996024 = 23347883
BaseRepresentation
bin11110011001010111000
31212121021210
43303022320
5223333044
633203120
711315601
oct3631270
91777253
10996024
11620367
124004a0
1328b483
141bcda8
1514a1b9
hexf32b8

996024 has 32 divisors (see below), whose sum is σ = 2545920. Its totient is φ = 324576.

The previous prime is 996019. The next prime is 996049. The reversal of 996024 is 420699.

996024 = T495 + T496 + ... + T502.

It is a junction number, because it is equal to n+sod(n) for n = 995982 and 996000.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996024.

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 7 ways as a sum of consecutive naturals, for example, 687 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

2996024 is an apocalyptic number.

996024 is a gapful number since it is divisible by the number (94) 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 996024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272960).

996024 is an abundant number, since it is smaller than the sum of its proper divisors (1549896).

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

996024 is a wasteful number, since it uses less digits than its factorization.

996024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 996024 is about 998.0100199898. The cubic root of 996024 is about 99.8672906268.

The spelling of 996024 in words is "nine hundred ninety-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 883 1128 1766 2649 3532 5298 7064 10596 21192 41501 83002 124503 166004 249006 332008 498012 996024