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10928900 = 2252293373
BaseRepresentation
bin101001101100…
…001100000100
3202120020122002
4221230030010
510244211100
61030124432
7161615453
oct51541404
922506562
1010928900
116195054
1237b0718
132358608
141646b9a
15e5d2d5
hexa6c304

10928900 has 36 divisors (see below), whose sum is σ = 23860452. Its totient is φ = 4344960.

The previous prime is 10928899. The next prime is 10928917. The reversal of 10928900 is 982901.

It can be written as a sum of positive squares in 6 ways, for example, as 262144 + 10666756 = 512^2 + 3266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29114 + ... + 29486.

Almost surely, 210928900 is an apocalyptic number.

10928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10928900 is an abundant number, since it is smaller than the sum of its proper divisors (12931552).

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

10928900 is a wasteful number, since it uses less digits than its factorization.

10928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 10928900 is about 3305.8886853613. Note that the first 3 decimals coincide. The cubic root of 10928900 is about 221.9178063279.

The spelling of 10928900 in words is "ten million, nine hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 373 586 746 1172 1465 1492 1865 2930 3730 5860 7325 7460 9325 14650 18650 29300 37300 109289 218578 437156 546445 1092890 2185780 2732225 5464450 10928900