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13024340 = 2257313001
BaseRepresentation
bin110001101011…
…110001010100
3220111201000222
4301223301110
511313234330
61143053512
7215463560
oct61536124
926451028
1013024340
11739641a
124441298
132910314
141a306a0
1512240e5
hexc6bc54

13024340 has 48 divisors (see below), whose sum is σ = 32277504. Its totient is φ = 4320000.

The previous prime is 13024339. The next prime is 13024357. The reversal of 13024340 is 4342031.

13024340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2840 + ... + 5840.

It is an arithmetic number, because the mean of its divisors is an integer number (672448).

Almost surely, 213024340 is an apocalyptic number.

13024340 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 13024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138752).

13024340 is an abundant number, since it is smaller than the sum of its proper divisors (19253164).

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

13024340 is a wasteful number, since it uses less digits than its factorization.

13024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 13024340 is about 3608.9250477116. The cubic root of 13024340 is about 235.2801246826.

Adding to 13024340 its reverse (4342031), we get a palindrome (17366371).

The spelling of 13024340 in words is "thirteen million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3001 4340 6002 12004 15005 21007 30010 42014 60020 84028 93031 105035 186062 210070 372124 420140 465155 651217 930310 1302434 1860620 2604868 3256085 6512170 13024340