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1300208 = 247131947
BaseRepresentation
bin100111101011011110000
32110001112212
410331123300
5313101313
643511252
714023460
oct4753360
92401485
101300208
11808958
12528528
13366a70
1425bba0
151aa3a8
hex13d6f0

1300208 has 80 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 476928.

The previous prime is 1300199. The next prime is 1300237. The reversal of 1300208 is 8020031.

1300208 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1300192 and 1300201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27641 + ... + 27687.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

21300208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560).

1300208 is an abundant number, since it is smaller than the sum of its proper divisors (2032912).

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

1300208 is a wasteful number, since it uses less digits than its factorization.

1300208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1300208 is about 1140.2666354849. The cubic root of 1300208 is about 109.1451087577.

Adding to 1300208 its reverse (8020031), we get a palindrome (9320239).

It can be divided in two parts, 1300 and 208, that multiplied together give a square (270400 = 5202).

The spelling of 1300208 in words is "one million, three hundred thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 47 52 56 76 91 94 104 112 133 152 182 188 208 247 266 304 329 364 376 494 532 611 658 728 752 893 988 1064 1222 1316 1456 1729 1786 1976 2128 2444 2632 3458 3572 3952 4277 4888 5264 6251 6916 7144 8554 9776 11609 12502 13832 14288 17108 23218 25004 27664 34216 46436 50008 68432 81263 92872 100016 162526 185744 325052 650104 1300208