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130208 = 2513313
BaseRepresentation
bin11111110010100000
320121121112
4133302200
513131313
62442452
71051421
oct376240
9217545
10130208
1189911
1263428
1347360
1435648
15288a8
hex1fca0

130208 has 24 divisors (see below), whose sum is σ = 276948. Its totient is φ = 59904.

The previous prime is 130201. The next prime is 130211. The reversal of 130208 is 802031.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 35344 = 308^2 + 188^2 .

130208 is an undulating number in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 130192 and 130201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201) by changing a digit.

130208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260 + ... + 572.

2130208 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 130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138474).

130208 is an abundant number, since it is smaller than the sum of its proper divisors (146740).

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

130208 is a wasteful number, since it uses less digits than its factorization.

130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

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

The square root of 130208 is about 360.8434563630. The cubic root of 130208 is about 50.6849733785.

Adding to 130208 its reverse (802031), we get a palindrome (932239).

The spelling of 130208 in words is "one hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 313 416 626 1252 2504 4069 5008 8138 10016 16276 32552 65104 130208