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13512200 = 2352135197
BaseRepresentation
bin110011100010…
…111000001000
3221102111020212
4303202320020
511424342300
61201340252
7222565112
oct63427010
927374225
1013512200
117699a09
124637688
132a513b0
141b1a3b2
1512bd935
hexce2e08

13512200 has 48 divisors (see below), whose sum is σ = 33838980. Its totient is φ = 4988160.

The previous prime is 13512199. The next prime is 13512203. The reversal of 13512200 is 221531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2316484 + 11195716 = 1522^2 + 3346^2 .

It is not an unprimeable number, because it can be changed into a prime (13512203) 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, 2 + ... + 5198.

Almost surely, 213512200 is an apocalyptic number.

13512200 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 13512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16919490).

13512200 is an abundant number, since it is smaller than the sum of its proper divisors (20326780).

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

13512200 is a wasteful number, since it uses less digits than its factorization.

13512200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13512200 is about 3675.8944489743. The cubic root of 13512200 is about 238.1818632099.

Adding to 13512200 its reverse (221531), we get a palindrome (13733731).

The spelling of 13512200 in words is "thirteen million, five hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 5197 10394 20788 25985 41576 51970 67561 103940 129925 135122 207880 259850 270244 337805 519700 540488 675610 1039400 1351220 1689025 2702440 3378050 6756100 13512200