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13241200 = 245274729
BaseRepresentation
bin110010100000…
…101101110000
3220220201111211
4302200231300
511342204300
61151445504
7220356040
oct62405560
926821454
1013241200
117524345
124526894
132987c3b
141a89720
1512684ba
hexca0b70

13241200 has 60 divisors (see below), whose sum is σ = 36364240. Its totient is φ = 4538880.

The previous prime is 13241191. The next prime is 13241203. The reversal of 13241200 is 214231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436 + ... + 5164.

Almost surely, 213241200 is an apocalyptic number.

13241200 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 13241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182120).

13241200 is an abundant number, since it is smaller than the sum of its proper divisors (23123040).

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

13241200 is a wasteful number, since it uses less digits than its factorization.

13241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13241200 is about 3638.8459709089. The cubic root of 13241200 is about 236.5787766838.

Adding to 13241200 its reverse (214231), we get a palindrome (13455431).

The spelling of 13241200 in words is "thirteen million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4729 9458 18916 23645 33103 37832 47290 66206 75664 94580 118225 132412 165515 189160 236450 264824 331030 378320 472900 529648 662060 827575 945800 1324120 1655150 1891600 2648240 3310300 6620600 13241200