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1305140 = 22565257
BaseRepresentation
bin100111110101000110100
32110022022112
410332220310
5313231030
643550152
714044034
oct4765064
92408275
101305140
11811631
1252b358
13369095
1425d8c4
151aba95
hex13ea34

1305140 has 12 divisors (see below), whose sum is σ = 2740836. Its totient is φ = 522048.

The previous prime is 1305137. The next prime is 1305149. The reversal of 1305140 is 415031.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 996004 = 556^2 + 998^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305149) 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 3 ways as a sum of consecutive naturals, for example, 32609 + ... + 32648.

It is an arithmetic number, because the mean of its divisors is an integer number (228403).

21305140 is an apocalyptic number.

1305140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305140 is an abundant number, since it is smaller than the sum of its proper divisors (1435696).

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

1305140 is a wasteful number, since it uses less digits than its factorization.

1305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65266 (or 65264 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1305140 is about 1142.4272405716. The cubic root of 1305140 is about 109.2829391328.

The spelling of 1305140 in words is "one million, three hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 65257 130514 261028 326285 652570 1305140