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10003328 = 27312521
BaseRepresentation
bin100110001010…
…001110000000
3200211012222122
4212022032000
510030101303
6554223412
7151012136
oct46121600
920735878
1010003328
115712715
123424b68
1320c323a
141485756
15d28e38
hex98a380

10003328 has 32 divisors (see below), whose sum is σ = 20579520. Its totient is φ = 4838400.

The previous prime is 10003277. The next prime is 10003337. The reversal of 10003328 is 82330001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2708 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (643110).

Almost surely, 210003328 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 10003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289760).

10003328 is an abundant number, since it is smaller than the sum of its proper divisors (10576192).

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

10003328 is an equidigital number, since it uses as much as digits as its factorization.

10003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10003328 is about 3162.8038193982. The cubic root of 10003328 is about 215.4673662145.

Adding to 10003328 its reverse (82330001), we get a palindrome (92333329).

The spelling of 10003328 in words is "ten million, three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2521 3968 5042 10084 20168 40336 78151 80672 156302 161344 312604 322688 625208 1250416 2500832 5001664 10003328