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13022500 = 22545209
BaseRepresentation
bin110001101011…
…010100100100
3220111121111211
4301223110210
511313210000
61143041204
7215455321
oct61532444
926447454
1013022500
117394aa7
124440204
13290c52a
141a2db48
1512237ba
hexc6b524

13022500 has 30 divisors (see below), whose sum is σ = 28483070. Its totient is φ = 5208000.

The previous prime is 13022497. The next prime is 13022501. The reversal of 13022500 is 522031.

It can be written as a sum of positive squares in 5 ways, for example, as 1557504 + 11464996 = 1248^2 + 3386^2 .

It is not an unprimeable number, because it can be changed into a prime (13022501) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 105 + ... + 5104.

Almost surely, 213022500 is an apocalyptic number.

13022500 is a gapful number since it is divisible by the number (10) 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 13022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241535).

13022500 is an abundant number, since it is smaller than the sum of its proper divisors (15460570).

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

13022500 is an equidigital number, since it uses as much as digits as its factorization.

13022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13022500 is about 3608.6701151532. The cubic root of 13022500 is about 235.2690445097.

Adding to 13022500 its reverse (522031), we get a palindrome (13544531).

The spelling of 13022500 in words is "thirteen million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 5209 10418 20836 26045 52090 104180 130225 260450 520900 651125 1302250 2604500 3255625 6511250 13022500