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1001330008 = 23731678609
BaseRepresentation
bin111011101011110…
…001010101011000
32120210011211112121
4323223301111120
54022320030013
6243205551024
733546110320
oct7353612530
92523154477
101001330008
11474252068
1223b415474
1312c5b4683
1496db6280
155cd9558d
hex3baf1558

1001330008 has 64 divisors (see below), whose sum is σ = 2248243200. Its totient is φ = 409052160.

The previous prime is 1001329999. The next prime is 1001330017. The reversal of 1001330008 is 8000331001.

It is an interprime number because it is at equal distance from previous prime (1001329999) and next prime (1001330017).

It is a junction number, because it is equal to n+sod(n) for n = 1001329973 and 1001330000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112008 + ... + 120616.

It is an arithmetic number, because the mean of its divisors is an integer number (35128800).

Almost surely, 21001330008 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 1001330008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124121600).

1001330008 is an abundant number, since it is smaller than the sum of its proper divisors (1246913192).

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

1001330008 is a wasteful number, since it uses less digits than its factorization.

1001330008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1001330008 is about 31643.7988869857. The cubic root of 1001330008 is about 1000.4431395983.

Adding to 1001330008 its reverse (8000331001), we get a palindrome (9001661009).

The spelling of 1001330008 in words is "one billion, one million, three hundred thirty thousand, eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 67 124 134 217 248 268 434 469 536 868 938 1736 1876 2077 3752 4154 8308 8609 14539 16616 17218 29078 34436 58156 60263 68872 116312 120526 241052 266879 482104 533758 576803 1067516 1153606 1868153 2135032 2307212 3736306 4037621 4614424 7472612 8075242 14945224 16150484 17880893 32300968 35761786 71523572 125166251 143047144 250332502 500665004 1001330008