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10327008 = 253971109
BaseRepresentation
bin100111011001…
…001111100000
3201102122222210
4213121033200
510120431013
61005202120
7153530616
oct47311740
921378883
1010327008
11591391a
123560340
1321a7673
14152b6b6
15d8ecc3
hex9d93e0

10327008 has 48 divisors (see below), whose sum is σ = 27412560. Its totient is φ = 3403776.

The previous prime is 10327003. The next prime is 10327019. The reversal of 10327008 is 80072301.

10327008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10327003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8758 + ... + 9866.

It is an arithmetic number, because the mean of its divisors is an integer number (571095).

Almost surely, 210327008 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 10327008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706280).

10327008 is an abundant number, since it is smaller than the sum of its proper divisors (17085552).

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

10327008 is a wasteful number, since it uses less digits than its factorization.

10327008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10327008 is about 3213.5662432880. The cubic root of 10327008 is about 217.7667173182.

Adding to 10327008 its reverse (80072301), we get a palindrome (90399309).

The spelling of 10327008 in words is "ten million, three hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1109 1164 1552 2218 2328 3104 3327 4436 4656 6654 8872 9312 13308 17744 26616 35488 53232 106464 107573 215146 322719 430292 645438 860584 1290876 1721168 2581752 3442336 5163504 10327008