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1005380 = 225172957
BaseRepresentation
bin11110101011101000100
31220002010022
43311131010
5224133010
633314312
711355065
oct3653504
91802108
101005380
116273a2
12405998
132927cc
141c256c
1514cd55
hexf5744

1005380 has 24 divisors (see below), whose sum is σ = 2236248. Its totient is φ = 378368.

The previous prime is 1005373. The next prime is 1005391. The reversal of 1005380 is 835001.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 917764 = 296^2 + 958^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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, 1139 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (93177).

21005380 is an apocalyptic number.

1005380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005380 is an abundant number, since it is smaller than the sum of its proper divisors (1230868).

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

1005380 is a wasteful number, since it uses less digits than its factorization.

1005380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1005380 is about 1002.6863916500. The cubic root of 1005380 is about 100.1790126867.

The spelling of 1005380 in words is "one million, five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2957 5914 11828 14785 29570 50269 59140 100538 201076 251345 502690 1005380