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1300005 = 32574127
BaseRepresentation
bin100111101011000100101
32110001021100
410331120211
5313100010
643510313
714023050
oct4753045
92401240
101300005
11808793
12528399
13366945
1425ba97
151aa2c0
hex13d625

1300005 has 24 divisors (see below), whose sum is σ = 2575872. Its totient is φ = 594144.

The previous prime is 1299989. The next prime is 1300021. The reversal of 1300005 is 5000031.

It is an interprime number because it is at equal distance from previous prime (1299989) and next prime (1300021).

It is not a de Polignac number, because 1300005 - 24 = 1299989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1300005.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1749 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (107328).

21300005 is an apocalyptic number.

1300005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300005 is a deficient number, since it is larger than the sum of its proper divisors (1275867).

1300005 is a wasteful number, since it uses less digits than its factorization.

1300005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1300005 is about 1140.1776177421. The cubic root of 1300005 is about 109.1394282281.

Adding to 1300005 its reverse (5000031), we get a palindrome (6300036).

The spelling of 1300005 in words is "one million, three hundred thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 4127 12381 20635 28889 37143 61905 86667 144445 185715 260001 433335 1300005