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13145300 = 2252789211
BaseRepresentation
bin110010001001…
…010011010100
3220201211221222
4302021103110
511331122200
61145425512
7216506330
oct62112324
926654858
1013145300
117469293
12449b298
1329533ac
141a627c0
151249d85
hexc894d4

13145300 has 72 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 4435200.

The previous prime is 13145299. The next prime is 13145311. The reversal of 13145300 is 354131.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62195 + ... + 62405.

It is an arithmetic number, because the mean of its divisors is an integer number (460040).

Almost surely, 213145300 is an apocalyptic number.

13145300 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 13145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440).

13145300 is an abundant number, since it is smaller than the sum of its proper divisors (19977580).

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

13145300 is a wasteful number, since it uses less digits than its factorization.

13145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13145300 is about 3625.6447702443. The cubic root of 13145300 is about 236.0062480391.

Adding to 13145300 its reverse (354131), we get a palindrome (13499431).

The spelling of 13145300 in words is "thirteen million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 211 350 356 422 445 623 700 844 890 1055 1246 1477 1780 2110 2225 2492 2954 3115 4220 4450 5275 5908 6230 7385 8900 10550 12460 14770 15575 18779 21100 29540 31150 36925 37558 62300 73850 75116 93895 131453 147700 187790 262906 375580 469475 525812 657265 938950 1314530 1877900 2629060 3286325 6572650 13145300