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13008520 = 235726637
BaseRepresentation
bin110001100111…
…111010001000
3220110220100001
4301213322020
511312233040
61142452344
7215366500
oct61477210
926426301
1013008520
117385548
1244340b4
132906065
141a28a00
15121e59a
hexc67e88

13008520 has 48 divisors (see below), whose sum is σ = 34052940. Its totient is φ = 4459392.

The previous prime is 13008517. The next prime is 13008539. The reversal of 13008520 is 2580031.

It is a happy number.

13008520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 1999396 = 3318^2 + 1414^2 .

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, 1359 + ... + 5278.

Almost surely, 213008520 is an apocalyptic number.

13008520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13008520 is an abundant number, since it is smaller than the sum of its proper divisors (21044420).

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

13008520 is a wasteful number, since it uses less digits than its factorization.

13008520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13008520 is about 3606.7325933593. The cubic root of 13008520 is about 235.1848251736.

Adding to 13008520 its reverse (2580031), we get a palindrome (15588551).

The spelling of 13008520 in words is "thirteen million, eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6637 13274 26548 33185 46459 53096 66370 92918 132740 185836 232295 265480 325213 371672 464590 650426 929180 1300852 1626065 1858360 2601704 3252130 6504260 13008520