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13144240 = 245433821
BaseRepresentation
bin110010001001…
…000010110000
3220201210111201
4302021002300
511331103430
61145420544
7216503254
oct62110260
926653451
1013144240
11746850a
12449a754
132952a75
141a62264
1512498ca
hexc890b0

13144240 has 40 divisors (see below), whose sum is σ = 31279248. Its totient is φ = 5134080.

The previous prime is 13144211. The next prime is 13144249. The reversal of 13144240 is 4244131.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13144249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 5350.

Almost surely, 213144240 is an apocalyptic number.

13144240 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 13144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639624).

13144240 is an abundant number, since it is smaller than the sum of its proper divisors (18135008).

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

13144240 is a wasteful number, since it uses less digits than its factorization.

13144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 13144240 is about 3625.4985864016. The cubic root of 13144240 is about 235.9999042420. Note that the first 4 decimals are identical.

Adding to 13144240 its reverse (4244131), we get a palindrome (17388371).

The spelling of 13144240 in words is "thirteen million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3821 7642 15284 19105 30568 38210 61136 76420 152840 164303 305680 328606 657212 821515 1314424 1643030 2628848 3286060 6572120 13144240