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1005140 = 225291733
BaseRepresentation
bin11110101011001010100
31220001210102
43311121110
5224131030
633313232
711354303
oct3653124
91801712
101005140
116271a4
12405818
13292676
141c243a
1514cc45
hexf5654

1005140 has 24 divisors (see below), whose sum is σ = 2184840. Its totient is φ = 387968.

The previous prime is 1005133. The next prime is 1005143. The reversal of 1005140 is 415001.

It can be written as a sum of positive squares in 4 ways, for example, as 91204 + 913936 = 302^2 + 956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005143) 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 7 ways as a sum of consecutive naturals, for example, 287 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (91035).

21005140 is an apocalyptic number.

1005140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005140 is an abundant number, since it is smaller than the sum of its proper divisors (1179700).

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

1005140 is a wasteful number, since it uses less digits than its factorization.

1005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1005140 is about 1002.5667060101. The cubic root of 1005140 is about 100.1710406176.

The spelling of 1005140 in words is "one million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1733 3466 6932 8665 17330 34660 50257 100514 201028 251285 502570 1005140