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10328960 = 27516139
BaseRepresentation
bin100111011001…
…101110000000
3201102202200002
4213121232000
510121011320
61005215132
7153536405
oct47315600
921382602
1010328960
115915334
1235614a8
1321a8515
14152c2ac
15d90675
hex9d9b80

10328960 has 32 divisors (see below), whose sum is σ = 24694200. Its totient is φ = 4131328.

The previous prime is 10328939. The next prime is 10328963. The reversal of 10328960 is 6982301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7430 + ... + 8709.

Almost surely, 210328960 is an apocalyptic number.

10328960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10328960 is an abundant number, since it is smaller than the sum of its proper divisors (14365240).

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

10328960 is an equidigital number, since it uses as much as digits as its factorization.

10328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16158 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10328960 is about 3213.8699413635. The cubic root of 10328960 is about 217.7804371311.

The spelling of 10328960 in words is "ten million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 16139 32278 64556 80695 129112 161390 258224 322780 516448 645560 1032896 1291120 2065792 2582240 5164480 10328960