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13413608 = 23131011277
BaseRepresentation
bin110011001010…
…110011101000
3221020111000022
4303022303220
511413213413
61155300012
7222004505
oct63126350
927214008
1013413608
11763192a
1245aa608
132a18560
141ad24ac
15129e608
hexccace8

13413608 has 32 divisors (see below), whose sum is σ = 27374760. Its totient is φ = 6124800.

The previous prime is 13413599. The next prime is 13413637. The reversal of 13413608 is 80631431.

13413608 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 4 ways, for example, as 12802084 + 611524 = 3578^2 + 782^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9866 + ... + 11142.

Almost surely, 213413608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687380).

13413608 is an abundant number, since it is smaller than the sum of its proper divisors (13961152).

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

13413608 is a wasteful number, since it uses less digits than its factorization.

13413608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13413608 is about 3662.4592830501. The cubic root of 13413608 is about 237.6011491591.

The spelling of 13413608 in words is "thirteen million, four hundred thirteen thousand, six hundred eight".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1277 1313 2554 2626 5108 5252 10216 10504 16601 33202 66404 128977 132808 257954 515908 1031816 1676701 3353402 6706804 13413608