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1038820 = 22551941
BaseRepresentation
bin11111101100111100100
31221202222211
43331213210
5231220240
634133204
711554426
oct3754744
91852884
101038820
1164a532
12421204
132a4ab3
141d0816
15157bea
hexfd9e4

1038820 has 12 divisors (see below), whose sum is σ = 2181564. Its totient is φ = 415520.

The previous prime is 1038811. The next prime is 1038823. The reversal of 1038820 is 288301.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 872356 = 408^2 + 934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1038791 and 1038800.

It is not an unprimeable number, because it can be changed into a prime (1038823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25951 + ... + 25990.

It is an arithmetic number, because the mean of its divisors is an integer number (181797).

21038820 is an apocalyptic number.

1038820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038820 is an abundant number, since it is smaller than the sum of its proper divisors (1142744).

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

1038820 is a wasteful number, since it uses less digits than its factorization.

1038820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51950 (or 51948 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1038820 is about 1019.2251959209. The cubic root of 1038820 is about 101.2776076725.

The spelling of 1038820 in words is "one million, thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 51941 103882 207764 259705 519410 1038820