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13366336 = 264572
BaseRepresentation
bin110010111111…
…010001000000
3221011002011111
4302333101000
511410210321
61154253104
7221416624
oct62772100
927132144
1013366336
1175aa365
124587194
1329ccb99
141abd184
1512905e1
hexcbf440

13366336 has 21 divisors (see below), whose sum is σ = 26581989. Its totient is φ = 6668544.

The previous prime is 13366319. The next prime is 13366387. The reversal of 13366336 is 63366331.

13366336 = T273 + T274 + ... + T464.

The square root of 13366336 is 3656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11560000 + 1806336 = 3400^2 + 1344^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13366298 and 13366307.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 29020 + ... + 29476.

It is an arithmetic number, because the mean of its divisors is an integer number (1265809).

Almost surely, 213366336 is an apocalyptic number.

13366336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13366336 is the 3656-th square number.

It is an amenable number.

13366336 is a deficient number, since it is larger than the sum of its proper divisors (13215653).

13366336 is an frugal number, since it uses more digits than its factorization.

13366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 459 counting only the distinct ones).

The product of its digits is 17496, while the sum is 31.

The cubic root of 13366336 is about 237.3217040410.

The spelling of 13366336 in words is "thirteen million, three hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 457 914 1828 3656 7312 14624 29248 208849 417698 835396 1670792 3341584 6683168 13366336