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13024240 = 245712293
BaseRepresentation
bin110001101011…
…101111110000
3220111200220021
4301223233300
511313233430
61143053224
7215463355
oct61535760
926450807
1013024240
117396339
124441214
132910268
141a3062c
15122407a
hexc6bbf0

13024240 has 40 divisors (see below), whose sum is σ = 30721248. Its totient is φ = 5134080.

The previous prime is 13024237. The next prime is 13024241. The reversal of 13024240 is 4242031.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024241) 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, 4534 + ... + 6826.

Almost surely, 213024240 is an apocalyptic number.

13024240 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 13024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360624).

13024240 is an abundant number, since it is smaller than the sum of its proper divisors (17697008).

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

13024240 is a wasteful number, since it uses less digits than its factorization.

13024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13024240 is about 3608.9111931440. The cubic root of 13024240 is about 235.2795225261.

Adding to 13024240 its reverse (4242031), we get a palindrome (17266271).

The spelling of 13024240 in words is "thirteen million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2293 2840 4586 5680 9172 11465 18344 22930 36688 45860 91720 162803 183440 325606 651212 814015 1302424 1628030 2604848 3256060 6512120 13024240