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13027400 = 2352531229
BaseRepresentation
bin110001101100…
…100001001000
3220111212020022
4301230201020
511313334100
61143120012
7215505521
oct61544110
926455208
1013027400
117398751
124443008
132911829
141a31848
151224e85
hexc6c848

13027400 has 48 divisors (see below), whose sum is σ = 30885300. Its totient is φ = 5108480.

The previous prime is 13027397. The next prime is 13027429. The reversal of 13027400 is 472031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10278436 + 2748964 = 3206^2 + 1658^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9986 + ... + 11214.

Almost surely, 213027400 is an apocalyptic number.

13027400 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 13027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442650).

13027400 is an abundant number, since it is smaller than the sum of its proper divisors (17857900).

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

13027400 is a wasteful number, since it uses less digits than its factorization.

13027400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13027400 is about 3609.3489717676. The cubic root of 13027400 is about 235.2985491812.

Adding to 13027400 its reverse (472031), we get a palindrome (13499431).

The spelling of 13027400 in words is "thirteen million, twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1229 1325 2120 2458 2650 4916 5300 6145 9832 10600 12290 24580 30725 49160 61450 65137 122900 130274 245800 260548 325685 521096 651370 1302740 1628425 2605480 3256850 6513700 13027400