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9800820 = 2232554449
BaseRepresentation
bin100101011000…
…110001110100
3200102221012100
4211120301310
510002111240
6550022100
7146206551
oct45306164
920387170
109800820
115594557
123347930
132052003
141431a28
15cd8e30
hex958c74

9800820 has 36 divisors (see below), whose sum is σ = 29729700. Its totient is φ = 2613504.

The previous prime is 9800803. The next prime is 9800821. The reversal of 9800820 is 280089.

It can be written as a sum of positive squares in 2 ways, for example, as 6937956 + 2862864 = 2634^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9800821) 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 11 ways as a sum of consecutive naturals, for example, 27045 + ... + 27404.

It is an arithmetic number, because the mean of its divisors is an integer number (825825).

Almost surely, 29800820 is an apocalyptic number.

9800820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9800820 is an abundant number, since it is smaller than the sum of its proper divisors (19928880).

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

9800820 is a wasteful number, since it uses less digits than its factorization.

9800820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54464 (or 54459 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9800820 is about 3130.6261354560. The cubic root of 9800820 is about 214.0034645842.

The spelling of 9800820 in words is "nine million, eight hundred thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 54449 108898 163347 217796 272245 326694 490041 544490 653388 816735 980082 1088980 1633470 1960164 2450205 3266940 4900410 9800820