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1305380 = 22565269
BaseRepresentation
bin100111110101100100100
32110022122102
410332230210
5313233010
643551232
714044526
oct4765444
92408572
101305380
1181182a
1252b518
1336921b
1425da16
151abba5
hex13eb24

1305380 has 12 divisors (see below), whose sum is σ = 2741340. Its totient is φ = 522144.

The previous prime is 1305373. The next prime is 1305383. The reversal of 1305380 is 835031.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 964324 = 584^2 + 982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 65269 = 1305380 / (1 + 3 + 0 + 5 + 3 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305383) 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, 32615 + ... + 32654.

It is an arithmetic number, because the mean of its divisors is an integer number (228445).

21305380 is an apocalyptic number.

1305380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305380 is an abundant number, since it is smaller than the sum of its proper divisors (1435960).

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

1305380 is a wasteful number, since it uses less digits than its factorization.

1305380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65278 (or 65276 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1305380 is about 1142.5322752553. The cubic root of 1305380 is about 109.2896373409.

The spelling of 1305380 in words is "one million, three hundred five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 65269 130538 261076 326345 652690 1305380