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13252000 = 25533313
BaseRepresentation
bin110010100011…
…010110100000
3220221021022211
4302203112200
511343031000
61152011504
7220432366
oct62432640
926837284
1013252000
117531473
124530b94
13298cb28
141a8d636
15126b7ba
hexca35a0

13252000 has 48 divisors (see below), whose sum is σ = 32569992. Its totient is φ = 5299200.

The previous prime is 13251989. The next prime is 13252039. The reversal of 13252000 is 25231.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 6091024 = 2676^2 + 2468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2344 + ... + 5656.

Almost surely, 213252000 is an apocalyptic number.

13252000 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 13252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284996).

13252000 is an abundant number, since it is smaller than the sum of its proper divisors (19317992).

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

13252000 is an equidigital number, since it uses as much as digits as its factorization.

13252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3320 counting only the distinct ones).

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

The square root of 13252000 is about 3640.3296554021. The cubic root of 13252000 is about 236.6430799302.

Adding to 13252000 its reverse (25231), we get a palindrome (13277231).

The spelling of 13252000 in words is "thirteen million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3313 4000 6626 13252 16565 26504 33130 53008 66260 82825 106016 132520 165650 265040 331300 414125 530080 662600 828250 1325200 1656500 2650400 3313000 6626000 13252000