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13252420 = 2252973313
BaseRepresentation
bin110010100011…
…011101000100
3220221021220101
4302203131010
511343034140
61152013444
7220433536
oct62433504
926837811
1013252420
117531815
124531284
13299008c
141a8d856
15126b99a
hexca3744

13252420 has 48 divisors (see below), whose sum is σ = 29277360. Its totient is φ = 5031936.

The previous prime is 13252417. The next prime is 13252427. The reversal of 13252420 is 2425231.

It can be written as a sum of positive squares in 8 ways, for example, as 1800964 + 11451456 = 1342^2 + 3384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252427) 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 15 ways as a sum of consecutive naturals, for example, 42184 + ... + 42496.

It is an arithmetic number, because the mean of its divisors is an integer number (609945).

Almost surely, 213252420 is an apocalyptic number.

13252420 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 13252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638680).

13252420 is an abundant number, since it is smaller than the sum of its proper divisors (16024940).

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

13252420 is a wasteful number, since it uses less digits than its factorization.

13252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 13252420 is about 3640.3873420283. The cubic root of 13252420 is about 236.6455799062.

Adding to 13252420 its reverse (2425231), we get a palindrome (15677651).

The spelling of 13252420 in words is "thirteen million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 313 365 580 626 730 1252 1460 1565 2117 3130 4234 6260 8468 9077 10585 18154 21170 22849 36308 42340 45385 45698 90770 91396 114245 181540 228490 456980 662621 1325242 2650484 3313105 6626210 13252420