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1305066 = 237223193
BaseRepresentation
bin100111110100111101010
32110022012210
410332213222
5313230231
643545550
714043600
oct4764752
92408183
101305066
11811574
1252b2b6
13369039
1425d870
151aba46
hex13e9ea

1305066 has 48 divisors (see below), whose sum is σ = 3184704. Its totient is φ = 354816.

The previous prime is 1305061. The next prime is 1305097. The reversal of 1305066 is 6605031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305061) 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 23 ways as a sum of consecutive naturals, for example, 6666 + ... + 6858.

It is an arithmetic number, because the mean of its divisors is an integer number (66348).

21305066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592352).

1305066 is an abundant number, since it is smaller than the sum of its proper divisors (1879638).

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

1305066 is a wasteful number, since it uses less digits than its factorization.

1305066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1305066 is about 1142.3948529296. The cubic root of 1305066 is about 109.2808736864.

The spelling of 1305066 in words is "one million, three hundred five thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 193 294 322 386 483 579 966 1127 1158 1351 2254 2702 3381 4053 4439 6762 8106 8878 9457 13317 18914 26634 28371 31073 56742 62146 93219 186438 217511 435022 652533 1305066