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1300068 = 2232721167
BaseRepresentation
bin100111101011001100100
32110001100200
410331121210
5313100233
643510500
714023200
oct4753144
92401320
101300068
11808840
12528430
13366993
1425bb00
151aa313
hex13d664

1300068 has 108 divisors (see below), whose sum is σ = 4232592. Its totient is φ = 332640.

The previous prime is 1300051. The next prime is 1300073. The reversal of 1300068 is 8600031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1300068.

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 35 ways as a sum of consecutive naturals, for example, 19371 + ... + 19437.

21300068 is an apocalyptic number.

1300068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116296).

1300068 is an abundant number, since it is smaller than the sum of its proper divisors (2932524).

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

1300068 is a wasteful number, since it uses less digits than its factorization.

1300068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1300068 is about 1140.2052446819. The cubic root of 1300068 is about 109.1411912144.

Adding to 1300068 its reverse (8600031), we get a palindrome (9900099).

The spelling of 1300068 in words is "one million, three hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 67 77 84 98 99 126 132 134 147 154 196 198 201 231 252 268 294 308 396 402 441 462 469 539 588 603 693 737 804 882 924 938 1078 1206 1386 1407 1474 1617 1764 1876 2156 2211 2412 2772 2814 2948 3234 3283 4221 4422 4851 5159 5628 6468 6566 6633 8442 8844 9702 9849 10318 13132 13266 15477 16884 19404 19698 20636 26532 29547 30954 36113 39396 46431 59094 61908 72226 92862 108339 118188 144452 185724 216678 325017 433356 650034 1300068