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1005020 = 225311621
BaseRepresentation
bin11110101010111011100
31220001121222
43311113130
5224130040
633312512
711354042
oct3652734
91801558
101005020
116270a5
12405738
132925b3
141c2392
1514cbb5
hexf55dc

1005020 has 24 divisors (see below), whose sum is σ = 2179968. Its totient is φ = 388800.

The previous prime is 1005019. The next prime is 1005029. The reversal of 1005020 is 205001.

It is a junction number, because it is equal to n+sod(n) for n = 1004989 and 1005007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005029) 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 7 ways as a sum of consecutive naturals, for example, 191 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (90832).

21005020 is an apocalyptic number.

1005020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005020 is an abundant number, since it is smaller than the sum of its proper divisors (1174948).

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

1005020 is a wasteful number, since it uses less digits than its factorization.

1005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1005020 is about 1002.5068578319. The cubic root of 1005020 is about 100.1670541072.

The spelling of 1005020 in words is "one million, five thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1621 3242 6484 8105 16210 32420 50251 100502 201004 251255 502510 1005020