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13460200 = 23521331167
BaseRepresentation
bin110011010110…
…001011101000
3221022211220221
4303112023220
511421211300
61200255424
7222260365
oct63261350
927284827
1013460200
117663936
124611574
132a33820
141b0546c
1512ad31a
hexcd62e8

13460200 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 4780800.

The previous prime is 13460197. The next prime is 13460203. The reversal of 13460200 is 206431.

13460200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13460197) and next prime (13460203).

It is not an unprimeable number, because it can be changed into a prime (13460203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80517 + ... + 80683.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 213460200 is an apocalyptic number.

13460200 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 13460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13460200 is an abundant number, since it is smaller than the sum of its proper divisors (21537560).

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

13460200 is a wasteful number, since it uses less digits than its factorization.

13460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13460200 is about 3668.8145224309. The cubic root of 13460200 is about 237.8759327940.

Adding to 13460200 its reverse (206431), we get a palindrome (13666631).

The spelling of 13460200 in words is "thirteen million, four hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 167 200 248 260 310 325 334 403 520 620 650 668 775 806 835 1240 1300 1336 1550 1612 1670 2015 2171 2600 3100 3224 3340 4030 4175 4342 5177 6200 6680 8060 8350 8684 10075 10354 10855 16120 16700 17368 20150 20708 21710 25885 33400 40300 41416 43420 51770 54275 67301 80600 86840 103540 108550 129425 134602 207080 217100 258850 269204 336505 434200 517700 538408 673010 1035400 1346020 1682525 2692040 3365050 6730100 13460200