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13423200 = 2535271747
BaseRepresentation
bin110011001101…
…001001100000
3221020222011120
4303031021200
511414020300
61155412240
7222044460
oct63151140
927228146
1013423200
11763905a
1245b4080
132a1ca2b
141ad5ba0
1512a23a0
hexccd260

13423200 has 288 divisors, whose sum is σ = 53996544. Its totient is φ = 2826240.

The previous prime is 13423199. The next prime is 13423211. The reversal of 13423200 is 232431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13423200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285577 + ... + 285623.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 213423200 is an apocalyptic number.

13423200 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 13423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

13423200 is an abundant number, since it is smaller than the sum of its proper divisors (40573344).

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

13423200 is a wasteful number, since it uses less digits than its factorization.

13423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13423200 is about 3663.7685516419. The cubic root of 13423200 is about 237.6577714387.

Adding to 13423200 its reverse (232431), we get a palindrome (13655631).

The spelling of 13423200 in words is "thirteen million, four hundred twenty-three thousand, two hundred".