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13408616 = 2313314159
BaseRepresentation
bin110011001001…
…100101101000
3221020020011102
4303021211220
511413033431
61155220532
7221654114
oct63114550
927206142
1013408616
117629101
1245a7748
132a161c0
141ad0744
15129cdcb
hexcc9968

13408616 has 32 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 5987520.

The previous prime is 13408613. The next prime is 13408621. The reversal of 13408616 is 61680431.

13408616 = T123 + T124 + ... + T434.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13408613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 213408616 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 13408616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

13408616 is an abundant number, since it is smaller than the sum of its proper divisors (14546584).

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

13408616 is a wasteful number, since it uses less digits than its factorization.

13408616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13408616 is about 3661.7777103478. Note that the first 4 decimals coincide. The cubic root of 13408616 is about 237.5716703366.

The spelling of 13408616 in words is "thirteen million, four hundred eight thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 4159 8318 16636 33272 54067 108134 128929 216268 257858 432536 515716 1031432 1676077 3352154 6704308 13408616